Heart-Mind Online
Lesson plan: skits to solve school problems in peaceful ways.
- Gets Along with Others
- Solves Problems Peacefully
Learning Outcomes:
Students will be able to:
identify what getting along looks, sounds and feels like
identify peaceful choices in common school/classroom problems
practice working through "school or classroom conflicts" faced at school
reflect on the cause of the "problem" or conflict, the feelings that exist during conflict and the potential actions to solve them peacefully
Materials Required:
White board (brainstorm, discussion notes)
iPad (for filming)
any props or materials needed for student skits
projector to show or present the recorded skits
Teaching and Learning Activities:
- ACTIVATE THINKING: Write “Solving Problems Peacefully” on the board. As a class, discuss what "peace" and "peacefully" [ 2 ] means. Note that peace is not about avoiding conflict entirely or being compliant, disengaged or coerced into behaving a certain way.
- Introduce the idea of school conflict and brainstorm a list of typical problems or conflicts students face regularly. Record student responses on the board for students to reference after
- Pick one example and have student volunteers come to the front of the class and improvise the scenario for the class. Discuss WHY this conflict or problem existed. Topics that may arise include power imbalances, self-esteem, miscommunication and assumptions. Discuss the emotions that are potentially felt by those involved in the conflict scenario.
- Brainstorm what possible actions (by those involved or bystanders) might help solve this conflict or problem in peaceful ways.
- Small Group Task - explain that students will work in small groups to create and act out a typical school/classroom based conflict or problem. Suggest that each group select a problem listed from the brainstorm. In addition to the problem skit, each group will be required to discuss strategies to solving that problem scenario peacefully, choose one and act it out as a “peaceful solution.” (Prompt groups to think about what the conflict looks, sounds and feels like.)
- Film each group’s skits individually as they are ready. Each group will act out the problem and then their peaceful solution.
- Once filming is complete - watch the videos together as a class. For each small group’s video, show the problem skit first, then pause the video to hold a large group discussion on ideas to solve the scenario peacefully. Finally, show the group’s filmed version of their peaceful solution. Repeat this process for each group’s video.
- Challenge students to watch for these conflicts around the school and in the classroom to apply what they have learned.
Adaptations:
Prearrange the small groups to pair certain students together in terms of ability or support.
Students who are too shy can choose to take on a "directing role" if they don't want to be in the film.
Each group could have a presenter or co-hosts to discuss their video with the class.
Nervous students can have non-speaking roles
Shy groups may need encouragement and help "scripting" what to say
Follow-up Activities:
Have students reflect on the lesson in a journal entry
Older classes could share these videos with younger students through “buddy” relationships or leadership lessons
- Conflict Resolution
- Middle Years
In a study of 307 teens, higher levels of empathy was found to be linked with more successful problem solving and conflict resolution.
Solving problems peacefully means using empathy, understanding other points of view and actively coming up with strategies to make things right in a fair way, while respecting others and themselves.
Three approaches to foster peaceful classrooms include:
- Create a space and emotional environment that will have universal impact.
- Explicitly teach positive communication strategies to build a repertoire of easily accessible skills.
- Engage in activities that integrate strategies and develop peaceful habits of mind.
Unleashing Readers
Helping Students Navigate the World of Books
What is Future Problem Solvers?
Future Problem Solving was introduced to me six years ago when a mom asked if I would be willing to advise a team so her sons could participate. At the time I did not know anything about the program, but I felt like I should give it a go since I wanted to work with gifted students more, so I jumped in with both feet and started learning about the program. I now co-advise the club with my co-worker who joined me when I was pregnant, Vanessa Gray, with four sixth graders, seven seventh graders, two eighth graders, nine ninth graders, two tenth graders, and an eleventh grader. These students have been with me and the program from one year to all six of the years that I’ve had the club.
Through my initial trainings, I learned that the program was more than just a competition for students that I would be advising. It is a program that focuses on making our future leaders. It helps build a global mindset in kids 8-years-old and up and promotes creative thinking, critical thinking, problem solving, research, writing, futuristic thinking, global mindset, and collaboration–all things, I might add, that are high on the list from Forbes of skills employers look for in their employees.
What Is It?
Future Problem Solvers focuses around the six-step creative problem solving process.
First , students read a Future Scene which is a scenario that takes place in the future and revolves around a topic the students knew and researched about before the competition.
Step 1 . In groups of four, the team has to pull out 16 potential problems they see that could happen in the Future Scene.
Step 2 . They then have to decide which of the problems is the most impactful to the scene and also deals with the charge given to them at the end of the scenario that directs them to focus on a certain aspect of the scene usually based on the topic.
Step 3 . As a team, they then have to determine 16 solutions to the underlying problem they identified in step 2.
Step 4 . Criteria is laid out to help determine which solution is the best.
Step 5 . The solutions are ranked based on the criteria they created.
Step 6 . They write an extensive action plan about the highest ranking solution explaining in detail how the solution would work, who would do the jobs, what obstacles they may encounter, how much it would cost, etc.
This finishes the Global Issues Problem Solving portion which is the primary competition, but while the booklets are being scored, the students then prepare and put on a skit of their action plan for their fellow competitors.
This year, at the regional competition, I brought a junior division team, four middle division teams, and one senior division team. At regionals we placed, sixth in the junior division, second in the middle division, third in the middle division, and second in the senior division, and three of my teams (the junior and two middles) qualified to attend the Florida Future Problem Solving State competition. Only 97 out of 259 teams in Florida qualify for the State Competition.
The FLFPSP State Competition is always a whirlwind. The first night is the opening ceremonies, the second day is the regular competition and skits, the third day has hands-on problem solving and a social, then the final morning is the awards ceremony. We always try to go into the competition being optimistic but not overall hopeful because there are some kids who have been doing FPS since they were in early elementary school versus my students who started in sixth grade. However, we got more than we could ever hope for.
First, it was announced that one of my middle school teams with their alternates had placed second in skits. My students excel at skits; I was so proud of them! I now was so happy that they had won ribbons, and I just was going to enjoy the rest of the award ceremony. Then, they awarded the alternate teams, and one of our seventh graders who did a multi-school booklet since he wasn’t needed as an alternate won first place! How exciting!
But then, they got to the main Global Issues Problem Solving. These were the awards that could qualify students for the International Competition. They started with individuals who do the entire six steps independently (less step 1s and step 3s required). One of my seniors, a junior who has been with me since the beginning, had competed as an individual since her team had not qualified, but I could bring her to states. And she placed THIRD! She wasn’t there to accept the award, so I went up for her and was shaking! I was so excited for her, and I called her immediately afterward (crying, of course!).
Then, we arrived at the middle division. When they give out the big team awards, they call all six of the placed teams up at once then state the places once everyone is up there. And they called BOTH of our middle division teams. These teams were made up of my eight ninth graders. One team had been together only two years while the other has been with me since they were in sixth grade (so four years). I could not believe it! And then they said sixth. Not us. Then fifth. Not us. Fourth–us! My two year team placed fourth at states! Then third. Not us. Then second. NOT US! They won FIRST! In the state! I could not have been more proud of these students.
Not we have the opportunity to go to the Future Problem Solving International Competition in June at Michigan State University. I am so excited to take these brilliant students to this prestigious competition.
The International Competitors represent the top one percent of students from teams from around the world. The International Conference features four days of stimulating competitive problem solving, cooperative educational seminars, and social activities. Each year approximately 2,200 students and coaches attend the FPS International Conference from around the globe. The topic for Global Issues Problem Solving at the FPS 2016 International Conference is Energy of the Future. Future Problem Solving Program International charters Affiliate Programs throughout Australia, Korea, Malaysia, New Zealand, Portugal, Singapore, United Kingdom, and United States.
To learn more about Future Problem Solving visit http://flfpsp.org/ or http://fpspi.org/
To learn more about my Hunter’s Creek Future Problem Solvers and help us get to Internationals, please visit our Facebook page !
4 thoughts on “What is Future Problem Solvers?”
Thanks for sharing! It sounds amazing and I can tell how proud you are of the groups. Looks like we have some great problem solvers and thinkers coming out of Florida in the future!
hehe…
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Future Problem Solving of Virginia
2023 - 2024 VAFPS State Bowl Results
Global issues problem solving (gips) - teams.
Jr. Division GIPS Team
First Place -
Clark, Rhee, Nguyen, Mott
Orange Hunt Elementary, Fairfax
Coach: Weis
Second Place -
Ingebretsen, Nelson, Ortega, Fuller
Powhatan Middle School, Powhatan
Coach: Haskins
Third Place -
Krieger, Harvie, Traupman
Coach: Haskins
Honorable Mentions -
Evens, White, Plageman, Jordan
Orange Hunt Elementary School, Fairfax
Global Issues Problem Solving (GIPS) - Individuals
Mid. Division Skits
Peasley Middle School, Gloucester
Coach: VanVranken
Northumberland Middle School, Northumberland
Coach: Jennings
Community Problem Solving
Jr. Division CmPS
First Place
The Mad Scientists
Sichol and Chan
Cople Elementary School
Westmoreland
Coach: Maiers and Evans
Scenario Writing
Jr. Division Scenario Writing
First Place
Washington District Elementary, Westmoreland
Coach: Coates
Second Place
Third Place
Presentation of Action Plan (Skits)
Jr. Division Skits
Evens, White, Plageman, Jordan, Coach: Weis
Clark, Rhee, Nguyen, Mott, Coach: Weis
Orange Hunt Elemetary School, Fairfax
Third Place -
Zhang, Raczko, Ahao, Xu, Coach: Huang
Alpha STEM Academy, Fairfax
Honorable Mentions -
Lyons, Clark, Bolton, Thomas, Coach: Watts
Flat Rock Elementary, Powhatan
Jones, Hartnett, Buchinger, Keefe, Coach: Walters
Academy of Discovery at Lakewood, Norfolk
Wythe Award
Jr. Division Wythe Award
Molly Schwend
Pocahontas Elementary
Abigail Trevillian
Senior Scholarship
Alpha STEM Academy
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Arizona Future Problem Solving Program
Global issues problem solving.
Global Issues Problem Solving (GIPS) is a competitive component of FPSPI which can be accomplished as a team (of 4) or as an individual activity in which participants research a series of global topics and learn a six-step creative problem solving process.
Identify Challenges
Select the Underlying Problem (UP)
Produce Solutions
Select Criteria
Apply Criteria
Develop an Action Plan
Problem solvers apply their topic and creative problem solving knowledge to address a charge presented in an imagined situation, termed--Future Scene.
Trained evaluators score student work and return it with feedback including suggestions for improvement during the school year.
The top scoring teams and individuals on the qualifying problem are invited to the AZ Affiliate Bowl Competition. The winners of each respective Affiliate FPS Competition will then advance to the FPSP International Conference IC in June.
FOUR DIVISIONS- IC eligible
Junior (grades 4-6)
Middle (grades 7-9)
Senior (grades 10-12)
Novice division is available to all new coaches-not IC eligible.
WHAT IS THE PROCESS?
Students research a topic to gather background information, become mini-experts in the topic, and predict possibilities for the future. Students receive a Future Scene, an imagined scenario based on the topic 20 to 40 years in the future, and use their research as they apply the six-step FPS model.
AZFPS coaches are encouraged to introduce generating and focusing guidelines along with a variety of creative and critical thinking tools. These creative problem solving tools and guidelines provide students with options to generate creative possibilities and to focus on effective solutions and innovation.
WHAT IS A FUTURE SCENE?
We all have problems we’d like to solve. Some people aren’t very good at math. Some people have nosy neighbors. Some people go to bed hungry at night. No matter how small or how big the problems are, we like to solve them. It’s hard to solve a problem, though, unless we understand the problem very well. Who is involved in the problem? What is the problem? When and where does the problem occur? Why does the problem happen? How does it occur? The first step in successful problem solving is defining and describing the problem. That’s what a "Future Scene" is - a description of the problem situation you want to solve.
Example Senior Future Scene and Team Booklet
WHAT YOU CAN DO WITH A FUTURE SCENE?
Use a Future Scene to generate challenges related to the topic.
Use a Future Scene to project yourself into the future.
What has changed?
What other areas might change?
How old will you be in that year?
Use the Future Scene as a story starter.
Can you see how you might use Future Scenes in real-life situations to help solve personal problems?
Use Future Scenes to work toward solving community, state, national, and international problems.
How might you use a Future Scene in the classroom to teach sound thinking skills and problem-solving behaviors?
Use Future Scenes in academic competitions to motivate students to excel, create an "Imagined Future."
Enjoy this FPS 2008 Future Scene on the topic of Olympic Games
TO LEARN MORE ABOUT FUTURE SCENES… Check out FPSPI’s publication, Problem Solving Across the Curriculum , located on the FPSPI Mart page.
Presentation of Action Plan (PAP)
After the teams have completed the GIPS portion of the competition, they must present their action plan in a brief skit. For more details on the PAP, check out the additional resources available on FPSPI's website.
https://www.fpspimart.org/product/presentation-of-action-plan-coaching-techniques-video/
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Global Issues Problem Solving
Individual gips.
Global Issues Problem Solving (GIPS) is a team or individual competitive component in which participants research a series of annual global topics and apply the six step creative problem solving process. Participants use their knowledge and the problem solving process to address an imagined situation set in the future, called a “Future Scene”. They go through the six-step framework as they complete a “booklet” addressing, critically analyzing, and solving a major issue in the Future Scene.
JUNIOR DIVISION
(Grades 4 - 6)
MIDDLE DIVISION
(Grades 7 - 9)
SENIOR DIVISION
(Grades 10 - 12)
Gr 4 Gr 7 Gr 10 Gr 12
The slate of topics for the upcoming years are selected by students across the globe each year.
Participants can also suggest topic ideas for future slates. Suggested topic ideas typically takes several years to appear in before participants to allow for review and resource development.
Annual Topics
Each year FPSPI announces the topics for the school year which will be the basis for the thematic basis for each submission in the GIPS annual competition timeline (seen below). Participants have the opportunity to research and explore these topics which are usually topics that are expected to increasingly become more important in the future. The topics represent themes and concepts from the strands of Business & Economics, Social & Political, and Science & Technology.
Explore the topics and read brief descriptions for this school year.
Competition Season Timeline
Each submission will be based on the corresponding Annual Topic announced at the start of the school year.
Competitive Submissions
Non-competitive Submissions
Practice Problem 1
Practice Problem 2
Qualifying problem, state conference, international conference.
Under the guidance of an advisor or advisors, teams of four participants in Grades 4-12 (competing within the Junior, Middle, or Senior Divisions) use the FPS six-step model to explore challenges and propose action plans to complex societal problems.
Teams complete two practice problems and one qualifying problem throughout the school year. Trained evaluators score student work and return it with feedback including suggestions for improvement. The top scoring teams on the qualifying problem will be invited to compete in the state conference. The first place winners in each division will advance to the FPSPI International Conference in June.
Presentation of Action Plan (Skits Performance)
Teams will also perform skits at the State and International Conference which serve as creative ways to present their Action Plans (STEP 6). These performances allow students to practice presentation and creative performance skills. Performances are evaluated and winners are announced for each division in a separate award. Presentation of Action Plan awards do not determine qualifications for invitations to the International conference.
Under the guidance of an advisor or advisors, a student, in Grades 4-12 (competing within the Junior, Middle, or Senior Divisions), may decide to compete individually rather than as a member of a team. Individual GIPS submissions only compete against other individual submissions and are evaluated separately from Team GIPS. The student applies the FPS six-step model to explore challenges and propose action plans to complex societal problems. An individual completes all six steps when preparing a booklet, but the workload is reduced for some steps.
Participants complete two practice problems and one qualifying problem throughout the school year. Trained evaluators score student work and return it with feedback including suggestions for improvement. The top scoring individuals on the qualifying problem will be invited to compete and go to the state conference. The first place winners in each division will advance to the FPSPI International Conference in June.
Individuals may also have the opportunity to participate in the Presentation of Action Plan at the State and International Conferences; typically individuals join other teams or individuals from their school or other participants from the state if possible.
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Problem Posing Via Scriptwriting: What Instructional Flows Do Mathematics Teachers Use in Implementing the Problem-Posing Task?
- Published: 24 September 2024
Cite this article
- Tuğrul Kar ORCID: orcid.org/0000-0001-8336-1327 1 ,
- Ferhat Öztürk ORCID: orcid.org/0000-0003-2849-8325 2 ,
- Mehmet Fatih Öçal ORCID: orcid.org/0000-0003-0428-6176 3 &
- Merve Özkaya ORCID: orcid.org/0000-0002-0436-4931 4
The present study aimed to describe teachers’ instructional flows when implementing a mathematical problem-posing task using scriptwriting technique. With matchsticks, a growing pattern that increases by a constant unit was created and presented to the teachers as a problem-posing situation. We analyzed the instructional flows in 50 scripts, taking into account situations recognized in the problem-posing field as critical for integrating problem posing into mathematics classrooms. We determined three instructional flows in the scripts: pose and solve cycle-based, observation-based, and problem-solving based, the first being the most common. We presented a new problem-posing instructional model and discussed its potential benefits for student learning.
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Cai, J. (2022). What research says about teaching mathematics through problem posing. Éducation & Didactique, 16 (3), 31–50. https://doi.org/10.4000/educationdidactique.10642
Article Google Scholar
Cai, J., & Ding, M. (2017). On mathematical understanding: Perspectives of experienced Chinese mathematics teachers. Journal of Mathematics Teacher Education, 20 (1), 5–29. https://doi.org/10.1007/s10857-015-9325-8
Cai, J., & Hwang, S (2020) Learning to teach through mathematical problem posing: Theoretical considerations, methodology, and directions for future research. International Journal of Educational Research, 102 , 101391. https://doi.org/10.1016/j.ijer.2019.01.001
Cai, J., & Hwang, S. (2021). Teachers as redesigners of curriculum to teach mathematics through problem posing: Conceptualization and initial findings of a problem-posing project. ZDM–Mathematics Education, 53 (6), 1403–1416. https://doi.org/10.1007/s11858-021-01252-3
Cai, J., Ran, H., Hwang, S., Ma, Y., Han, J., & Muirhead, F. (2023). Impact of prompts on students’ mathematical problem posing. The Journal of Mathematical Behavior, 72 , 101087. https://doi.org/10.1016/j.jmathb.2023.101087
Cai, J., & Hwang, S. (2023). Making mathematics challenging through problem posing in the classroom. In R. Leikin (Ed.), Mathematical challenges for all (pp. 115–145). Springer. https://doi.org/10.1007/978-3-031-18868-8_7
Cai, J., Hwang, S., Jiang, C., & Silber, S. (2015). Problem-posing research in mathematics education: Some answered and unanswered questions. In F. M. Singer, N. F. Ellerton, & J. Cai (Eds.), Mathematical problem posing . From research to effective practice (pp. 3–34). Springer. https://doi.org/10.1007/978-1-4614-6258-3_1
Cai, J., Koichu, B., Rott, B., Zazkis, R., & Jiang, C. (2022). Mathematical problem posing: Task variables, processes, and products. In C. Fernandez, S. Llinares, A. Gutierrez, & N. Planas (Eds.), Proceedings of the 45th Conference of the International Group for the Psychology of Mathematics Education (Vol. 1, pp. 119−145). PME.
Çakır, A., & Akkoç, H. (2020). Examining socio-mathematical norms related to problem posing: A case of a gifted and talented mathematics classroom. Educational Studies in Mathematics, 105 (1), 19–34. https://doi.org/10.1007/s10649-020-09965-0
Campbell, M. P., & Baldinger, E. E. (2022). Using scripting tasks to reveal mathematics teacher candidates’ resources for responding to student errors. Journal of Mathematics Teacher Education, 25 (5), 507–531. https://doi.org/10.1007/s10857-021-09505-4
Çelik-Demirci, S., & Kul, Ü. (2021). The analysis of problem posing activities in Turkish and Canadian mathematics textbooks: A Comparative Study. Studies in Educational Research and Development, 5 (2), 148–179.
Google Scholar
Chen, T., & Cai, J. (2020). An elementary mathematics teacher learning to teach using problem posing: A case of the distributive property of multiplication over addition. International Journal of Educational Research, 102 , 101420. https://doi.org/10.1016/j.ijer.2019.03.004
Cofie, N., Braund, H., & Dalgarno, N. (2022). Eight ways to get a grip on intercoder reliability using qualitative-based measures. Canadian Medical Education Journal, 13 (2), 73–76. https://doi.org/10.36834/cmej.72504
Council of Higher Education [CHE] (2007) Eğitim fakültesi öğretmen yetiştirme lisans programları [Undergraduate programs for teacher training at the faculty of education]. Retrieved March 3, 2024 from https://www.yok.gov.tr/yayinlar/yayinlarimiz
Council of Higher Education [CHE] (2018) Yeni öğretmen yetiştirme lisans programları [New teacher training undergraduate programs]. Retrieved December 28, 2023 from https://www.yok.gov.tr/Documents/Kurumsal/egitim_ogretim_dairesi/Yeni-Ogretmen-Yetistirme-Lisans-Programlari/Ilkogretim_Matematik_Lisans_Programi.pdf
Crespo, S., Oslund, J. A., & Parks, A. N. (2011). Imagining mathematics teaching practice: Prospective teachers generate representations of a class discussion. ZDM–Mathematics Education, 43 (1), 119–131. https://doi.org/10.1007/s11858-010-0296-z
Ellerton, N. F. (2013). Engaging pre-service middle-school teacher-education students in mathematical problem posing: Development of an active learning framework. Educational Studies in Mathematics, 83 (1), 87–101. https://doi.org/10.1007/s10649-012-9449-z
English, L. D. (1997). Promoting a problem-posing classroom. Teaching Children Mathematics, 4 (3), 172–179. https://doi.org/10.5951/TCM.4.3.0172
Erkan, B., & Kar, T (2022) Pre-service mathematics teachers’ problem-formulation processes: Development of the revised active learning framework. The Journal of Mathematical Behavior, 65, 1–18. https://doi.org/10.1016/j.jmathb.2021.100918
Kar, T., Öçal, M. F., Bişgin, B., & Arslan, M (2024) Examining the problem-posing performances of seventh-grade students in relation to response order. Asian Journal for Mathematics Education , 3 (2), 210-230. https://doi.org/10.1177/27527263241259190
Kercher, A., Güneş, C., & Zazkis, R. (2024). A didactical problem-posing as captured by scripting journeys: Investigating sums of consecutive integers. The Journal of Mathematical Behavior, 73 , 101113. https://doi.org/10.1016/j.jmathb.2023.101113
Kercher, A., Bergman, A. M., & Zazkis, R. (2023). Counting the stars: Advancing mathematical activity in a scripting journey. Mathematical Thinking and Learning , 1–20. https://doi.org/10.1080/10986065.2023.2206510
Koichu, B. (2020). Problem posing in the context of teaching for advanced problem solving. International Journal of Educational Research, 102 , 101428. https://doi.org/10.1016/j.ijer.2019.05.001
Kontorovich, I. (2020). Problem-posing triggers or where do mathematics competition problems come from? Educational Studies in Mathematics, 105 , 389–406. https://doi.org/10.1007/s10649-020-09964-1
Kontorovich, I., Koichu, B., Leikin, R., & Berman, A. (2012). An exploratory framework for handling the complexity of mathematical problem posing in small groups. The Journal of Mathematical Behavior, 31 (1), 149–161. https://doi.org/10.1016/j.jmathb.2011.11.002
Leavy, A., & Hourigan, M. (2020). Posing mathematically worthwhile problems: Developing the problem-posing skills of prospective teachers. Journal of Mathematics Teacher Education, 23 (4), 341–361. https://doi.org/10.1007/s10857-018-09425-w
Leung, S. S., & Silver, E. A. (1997). The role of task format, mathematics knowledge, and creative thinking on the arithmetic problem posing of prospective elementary school teachers. Mathematics Education Research Journal, 9 (1), 5–24. https://doi.org/10.1007/BF03217299
Li, X., Song, N., Hwang, S., & Cai, J. (2020). Learning to teach mathematics through problem posing: Teachers’ beliefs and performance on problem posing. Educational Studies in Mathematics, 105 , 325–347. https://doi.org/10.1007/s10649-020-09981-0
Li, X., Sun, X., & Cai, J. (2022). Integrating problem posing into the mathematics classroom: Current advances and future directions of research. Current Opinion in Behavioral Sciences, 48 , 101213. https://doi.org/10.1016/j.cobeha.2022.101213
Liljedahl, P., & Cai, J. (2021). Empirical research on problem solving and problem posing: A look at the state of the art. ZDM–Mathematics Education, 53 (4), 723–735. https://doi.org/10.1007/s11858-021-01291-w
Littleton, K., & Mercer, N. (2010). The significance of educational dialogues between primary school children. In K. Littleton & C. Howe (Eds.), Educational dialogues: Understanding and promoting productive interaction (pp. 271–288). Routledge.
Chapter Google Scholar
Mayring, P (2014) Qualitative content analysis: Theoretical foundation, basic procedures and software solution. Klagenfurt. Retrieved December 15, 2023 from https://nbn-resolving.org/urn:nbn:de:0168-ssoar-395173
Mercer, N., & Littleton, K. (2007). Dialogue and the development of children’s thinking: A sociocultural approach . Routledge.
Book Google Scholar
Mersin, N., & Kılıç, Ç. (2021). International comparison of problem-posing activities in middle school mathematics textbooks. Abant İzzet Baysal Üniversitesi Eğitim Fakültesi Dergisi, 21 (4), 1259–1279. https://doi.org/10.17240/aibuefd.2021..-926658
Ministry of National Education [MNE] (2018) Matematik dersi öğretim programı (İlkokul ve ortaokul 1, 2, 3, 4, 5, 6, 7 ve 8. sınıflar) [Mathematics lesson curriculum (Primary and elementary 1 st , 2 nd , 3 rd , 4 th , 5 th , 6 th , 7 th , and 8 th grades)] . Retrieved October 12, 2020 from https://mufredat.meb.gov.tr/ProgramDetay.aspx?PID=329
Mullis, I.V.S., Martin, M.O., Foy, P., Kelly, D.L., & Fishbein, B (2020) TIMSS 2019 International Results in Mathematics and Science . Retrieved August 10, 2022 from Boston College, TIMSS & PIRLS International Study Center.
National Council of Teachers of Mathematics [NCTM] (2000) Principles and standards for school mathematics . Author.
Polya, G (1957). How to solve it: A new aspect of mathematical method (2nd ed.). Princeton University Press.
Rivera, F. D., & Becker, J. R. (2007). Abduction–induction (generalization) processes of elementary majors on figural patterns in algebra. The Journal of Mathematical Behavior, 26 (2), 140–155. https://doi.org/10.1016/j.jmathb.2007.05.001
Silber, S., & Cai, J. (2017). Pre-service teachers’ free and structured mathematical problem posing. International Journal of Mathematical Education in Science and Technology, 48 (2), 163–184. https://doi.org/10.1080/0020739X.2016.1232843
Silver, E. A. (1994). On mathematical problem posing. For the Learning of Mathematics , 14 (1), 19–28. https://www.jstor.org/stable/40248099
Van Harpen, X. Y., & Sriraman, B. (2013). Creativity and mathematical problem posing: An analysis of high school students’ mathematical problem posing in China and the USA. Educational Studies in Mathematics, 82 , 201–221. https://doi.org/10.1007/s10649-012-9419-5
Wang, M., Walkington, C., & Rouse, A. (2022). A meta-analysis on the effects of problem−posing in mathematics education on performance and dispositions. Investigations in Mathematics Learning, 14 (4), 265–287. https://doi.org/10.1080/19477503.2022.2105104
Winograd, K. (1997). Ways of sharing student-authored story problems. Teaching Children Mathematics, 4 (1), 40–47.
Xie, J., & Masingila, J. O. (2017). Examining interactions between problem posing and problem solving with prospective primary teachers: A case of using fractions. Educational Studies in Mathematics, 96 (1), 101–118. https://doi.org/10.1007/s10649-017-9760-9
Xu, B., Cai, J., Liu, Q., & Hwang, S. (2020). Teachers’ predictions of students’ mathematical thinking related to problem posing. International Journal of Educational Research, 102 , 101427. https://doi.org/10.1016/j.ijer.2019.04.005
Yıldız, Ş, & Ev-Çimen, E. (2017). Ortaokul matematik ders kitaplarında yer verilen problem kurma etkinliklerinin incelenmesi [A review of problem posing activities in secondary school mathematics textbooks]. Turkish Journal of Computer and Mathematics Education, 8 (3), 378–407.
Zazkis, R. (2018). Dialogues on numbers: Script-writing as approximation of practice. In G. Kaiser, H. Forgasz, M. Graven, A. Kuzniak, E. Simmt, & B. Xu (Eds.), Invited Lectures from the 13th International Congress on Mathematical Education (pp. 749–767). Springer International Publishing.
Zazkis, R., & Herbst, P (2018). Scripting approaches in mathematics education: Mathematical dialogues in research and practice . Springer. https://doi.org/10.1007/978-3-319-62692-5
Zazkis, R., & Kontorovich, I. (2016). A curious case of superscript (− 1): Prospective secondary mathematics teachers explain. The Journal of Mathematical Behavior, 43 , 98–110. https://doi.org/10.1016/j.jmathb.2016.07.001
Zazkis, R., & Zazkis, D. (2014). Script writing in the mathematics classroom: Imaginary conversations on the structure of numbers. Research in Mathematics Education, 16 (1), 54–70. https://doi.org/10.1080/14794802.2013.876157
Zazkis, R., Sinclair, N., & Liljedahl, P. (2013). Lesson play in mathematics education: A tool for research and professional development . Springer. https://doi.org/10.1007/978-1-4614-3549-5
Zazkis, R., Liljedahl, P., & Sinclair, N. (2009). Lesson plays: Planning teaching versus teaching planning. For the Learning of Mathematics , 29 (1), 40−47. https://www.jstor.org/stable/40248639
Zhang, H., & Cai, J. (2021). Teaching mathematics through problem posing: Insights from an analysis of teaching cases. ZDM–Mathematics Education, 53 , 961–973. https://doi.org/10.1007/s11858-021-01260-3
Zhang, L., Cai, J., Song, N., Zhang, H., Chen, T., Zhang, Z., & Guo, F. (2022). Mathematical problem posing of elementary school students: The impact of task format and its relationship to problem solving. ZDM–Mathematics Education, 54 (3), 497–512. https://doi.org/10.1007/s11858-021-01324-4
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Each Tuğrul Kar designed the study, conducted the literature review, contributed to data collection and data analysis, and drafted the initial manuscript. Ferhat Öztürk contributed to data collection, data analysis, and writing the methodology and discussion sections. Mehmet Fatih Öçal contributed to data collection, data analysis, and writing the discussion section. Merve Özkaya contributed to data collection and data analysis. All authors reviewed and approved the final version of the manuscript.
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Kar, T., Öztürk, F., Öçal, M.F. et al. Problem Posing Via Scriptwriting: What Instructional Flows Do Mathematics Teachers Use in Implementing the Problem-Posing Task?. Int J of Sci and Math Educ (2024). https://doi.org/10.1007/s10763-024-10507-w
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Future Problem Solving, an international nonprofit, proudly celebrates 50 years of placing young people at the core of a dynamic, purposeful learning experience. Each year more than 30,000 K-12 ...
An action plan presentation is a creative performance or skit that represents the students' problem-solving process and action plan. Students synthesize their problem solving into a creative performance based on their action plan for judges. ... April Michele has served as the Executive Director since 2018 and been with Future Problem Solving ...
This is the skit my team of Future Problem Solvers came up with. A special thank you to Jan and Nicolo who helped in the creative process as well as Ben and ...
Future Problem Solving is a global organization that empowers K-12 students to become changemakers through problem-solving skills and real world topics. Students can participate in various challenges, such as Global Issues, Community Projects, Creative Writing, and Storytelling, and attend the World Finals.
Film each group's skits individually as they are ready. Each group will act out the problem and then their peaceful solution. Once filming is complete - watch the videos together as a class. For each small group's video, show the problem skit first, then pause the video to hold a large group discussion on ideas to solve the scenario peacefully.
The first night is the opening ceremonies, the second day is the regular competition and skits, the third day has hands-on problem solving and a social, then the final morning is the awards ceremony. We always try to go into the competition being optimistic but not overall hopeful because there are some kids who have been doing FPS since they ...
Future Problem Solving is a 50-year-old program that empowers young people to design and achieve positive futures through problem solving using critical and creative thinking. Students participate in challenges based on real world issues, learn a 6-step process, and compete at local, regional, and international levels.
Approximately 8 in 10 reported Future Problem Solving was very helpful or extremely helpful in secondary school (81%), in academic work after high school (78%), and in other life experiences outside school or academic work (81%). Looking back on their experience, the aspects below were rated the five most important and valuable. ...
Future Problem Solving is a dynamic international program involving thousands of students annually from the United States and many other countries around the world. Future Problem Solving (FPS) teaches a unique six step problem solving process which can be applied in the real world, in local and global communities, as well as in future ...
The Michigan Future Problem Solving Program (MFPSP) provides creative problem solving activities for students grades K- 12. Spanning a variety of disciplines and content areas, MFPSP consistently demonstrates its validity in education as an integral part of a school's curriculum or as an academic extracurricular activity.
New York Future Problem Solving's student competitions offer participants the opportunity to showcase their academic achievement. The competitive components of FPS prepare students for emerging new realities. ... Skit Performances. GIPS competitors perform their PoAP in front of an audience and evaluators. Icebreaker Activities.
FPSPI is a non-profit educational program that organizes academic competitions in which students apply critical thinking and problem-solving skills to hypothetical future situations. Learn about the history, structure, pedagogy, and topics of FPSPI and its components, such as Global Issues Problem Solving and Scenario Writing.
FPSPI Mission Statement: To develop the ability of young people globally to design and promote positive futures through problem solving using critical and creative thinking.
A seasoned educator, April Michele has served as the Executive Director since 2018 and been with Future Problem Solving more than a decade. Her background in advanced curriculum strategies and highly engaging learning techniques translates well in the development of materials, publications, training, and marketing for the organization and its global network.
Missouri Future Problem Solving. Our problem solvers learn to think, not what to think, and gain lifelong skills. Get Started Today! Get Started Today! Problem Solving Approach. Problem Solving Approach. Students learn to thoroughly research and analyze real world issues then apply a 6-step creative problem-solving process to develop relevant ...
Jr. Division Skits First Place - Evens, White, Plageman, Jordan, Coach: Weis. Orange Hunt Elementary School, Fairfax Second Place - Clark, Rhee, Nguyen, Mott, Coach: Weis
The Future Problem Solving skills I learned continue to help me everyday. The Pharmaceuticals topic gave me a passionate interest in the medical field. Patient care can be similar to the 6-step process: the patient has a scenario with many challenges and while there are several possible solutions, it is up to the medical team to identify and implement the best plan of care (action plan).
Use Future Scenes to work toward solving community, state, national, and international problems. How might you use a Future Scene in the classroom to teach sound thinking skills and problem-solving behaviors? Use Future Scenes in academic competitions to motivate students to excel, create an "Imagined Future." Enjoy this FPS 2008 Future Scene ...
Global Issues Problem Solving (GIPS) is a team or individual competitive component in which participants research a series of annual global topics and apply the six step creative problem solving process. Participants use their knowledge and the problem solving process to address an imagined situation set in the future, called a "Future Scene".
Future Problem Solving Debate/Discussion Any of you guys part of this club / on an FPS team when you were a kid / in high school? I loved it so much and am psyched to see it's still around. ENTP people would shine here. ... then create an ad campaign and skit performed in front of an audience to "sell" the solution. There would be a time ...
A Comparison of Reading and Mathematics Performance Between Students Participating in a Future Problem Solving Program and Nonparticipants. Data from the The Minnesota Comprehensive Assessment (MCA) was collected by Grandview Middle School and provided to Scholastic Testing Service, Inc. for statistical analysis.
Below are some practical activities to implement that can foster creative problem-solving skills in students. Why Early Development of Creative Problem-Solving Skills Matters. Instilling creative problem-solving skills from a young age can have lasting benefits that extend well beyond the classroom. Here are some of the key advantages: 1.
The present study aimed to describe teachers' instructional flows when implementing a mathematical problem-posing task using scriptwriting technique. With matchsticks, a growing pattern that increases by a constant unit was created and presented to the teachers as a problem-posing situation. We analyzed the instructional flows in 50 scripts, taking into account situations recognized in the ...
A Comparison of Reading and Mathematics Performance Between Students Participating in a Future Problem Solving Program and Nonparticipants. Data from the The Minnesota Comprehensive Assessment (MCA) was collected by Grandview Middle School and provided to Scholastic Testing Service, Inc. for statistical analysis.
A Comparison of Reading and Mathematics Performance Between Students Participating in a Future Problem Solving Program and Nonparticipants. Data from the The Minnesota Comprehensive Assessment (MCA) was collected by Grandview Middle School and provided to Scholastic Testing Service, Inc. for statistical analysis.