1. LESSON STUDY PRACTICE JICA – CRICED - JAPAN Improving Teaching Methods in Science and Mathematics in Primary Education. ARTEAGA Sara - Mexico CASTRO Cecilia - Bolivia DONGO Joao - Angola 2010/03/03

2. PRACTICE Lesson Study Lesson Plan Open-ended approach Blackboard Planning Origamics Hands – on math Teachers’ attitude Learning to listen

3. TEACHERS

4. LESSON STUDY Improve see Plan  Reflect do      Reflect Improve

5. Lesson Plan Foresee Students thoughts, Aim of the lesson TASK Tearchers give good problems to make students think about it. If the problem is very hard students won´t enjoy solving it. Play the role of a child. Questions to be posed by students Students Must always think Listen students’ thoughts How can you get the area of this figure? Mr. Ooneka attached Junior High School Nakahara Sensei- Maeno Elementary School Attached Elementary School

6. Problem Solving Approach Problem – various ways – one solution Problem – various ways – various answers Open ended problem Problem – various problems… Open problem

7. Comparison and discussion – Why? Independent Solving Problematic Summary Posing Problem -We have 12 cakes. -We have eaten 5. - Later, mom gave us 3 more cakes. - How many cakes do we have now? Problem Solving Approach

8. Checking List Problem Posing – … The lesson planned with tasks (problem given by teacher) and problems (problematic for students) and promotes (problematic) awareness. – The teacher expected methods and solutions before. Independent Solving Comparison and Discussion – …In addition to develop the ability to explain, children are also fostered with the ability to listen and the ability to question Summary 8 “El Enfoque de Resolución de Problemas” ISODA M., OLFOS R. 2009, Ediciones Universitarias de Valparaiso, Chile

9. Open ended Problem - This approach allows a control of the contents to be taught. Problem  Seiyama Sensei Proposal various solutions Seiyama Sensei Proposal various ways to solve  Seiyama Sensei Proposal - Aim: change students’ and teachers’ minds.

10. Blackboard Planning First write the aim of the lesson Present a problem Solve the problem Plan your board. Don’t erase anything. Yamamoto – Blackboard Third Grade

11. d – book

12. Origamics Mathematics contents Enjoyng Mathematics – stars and kites Folding paper to do stars and triangles Mr. Kazuo Haga at Tsukuba UniversityMr. Kazuo Haga and Yuhara Mr. Ooneka attached Junior High School

13. How to use the material Select atractive material Explain how to use Distribute to the students Students must be careful when using the material. Natsusaka’s class using material - Third Grade

14. glue here Cut here What is the result? Professor Tsubota Lecture

15. Teachers’ attitude Why! Japanese teachers have different teaching culture Student explaining his method, Maeno elementry school Science class, Attached Junior High School of Otsuka enjoying teaching, Maeno elementry school Student thinking how to get the center of gravity, Sakura Junior High school Teachers use concrete material to involve students, Attached Elementry School of Tkuba University

16. Learning to Listen Teachers must listen to students’ ideas… it’s not easy. Students’ problematic can be understood… if teachers know how to listen. Instead of listening to evaluate, listen to learn, to help, to understand the others. APEC Conference 2010 Abraham Arcavi

17. References “Japanese Lesson Study in MATHEMATICS Its Impact, Diversity and Potential for Educational Improvement”, ISODA M., STEPHENS M., OHARA Y. MIYAKAWA T. 2007, Ed. World Scientific Singapore “El Enfoque de Resolución de Problemas” ISODA M., OLFOS R. 2009, Ediciones Universitarias de Valparaiso, Chile PROFESSOR ISODA MASAMI, UNIVERSITY OF TSUKUBA, MATHEMATIC EDUCATION PROFESSOR TSUBOTA KOZO, ATTACHED ELEMENTARY SCHOOL OF UNIVERSITY OF TSUKUBA PROFESSOR KAZUO HAGA, UNIVERSITY OF TSUKUBA Abraham Arcavi, Ph.D., Associate Professor Incumbent of the Lester B. Pearson Professorial Chair DR. HIROKI YAHARA, UNIVERSITY OF TSUKUBA, MATHEMATIC EDUCATION SEIYAMA SENSEI LESSON STUDY Maeno Elementary School Sakura Junior High School Otsuka Attached Junior High School – PROFESSOR OONEKA, MATHEMATICS DEPARTMENT Attached Elementary School – PROFESSOR HITOSHI SHIRAIWA, SCIENCE DEPARTMENT, – PROFESSOR KAZUO TSUYUKI, SCIENCE DEPARTMENT – PROFESSOR YOSHIKAZU YAMAMOTO, MATHEMATICS DEPARTMENT, – PROFESSOR NATSUSAKA MATHEMATICS DEPARTMENT