TEACHING MATHEMATICS Through Problem Solving Amelia Buan Grace

TEACHING MATHEMATICS Through Problem Solving Amelia Buan Grace Liwanag Joan Rose Luib Teaching Elementary Mathematics Through Problem Solving April 26 - 28, 2016

The K - 12 Mathematics Curriculum Teaching Elementary Mathematics Through Problem Solving April 26 - 28, 2016

The K -12 Mathematics Curriculum Framework Teaching Elementary Mathematics Through Problem Solving April 26 - 28, 2016

What is a learner-centered lesson? A lesson is learner-centered if it provides the learners plenty of opportunities to engage in higher order thinking skills. Teaching Elementary Mathematics Through Problem Solving April 26 - 28, 2016

What is a problem? A problem is a mathematically unfamiliar situation that needs a solution but for which the problem solver has no readily available algorithm to use to solve it. Teaching Elementary Mathematics Through Problem Solving April 26 - 28, 2016

What is problem solving? It is finding a solution to a problem. Teaching Elementary Mathematics Through Problem Solving April 26 - 28, 2016

Three types of teaching related to problem solving –SCHROEDER (1989) Teaching for problem solving Teaching about problem solving Teaching through problem solving Teaching Elementary Mathematics Through Problem Solving April 26 - 28, 2016

Teaching for problem solving • Problems are given to the students after needed content and skills are taught Teaching Elementary Mathematics Through Problem Solving April 26 - 28, 2016

Teaching about problem solving • Problems are given to the students after general method of solving problems and the different strategies are discussed Understand the Problem Devise a Plan Carry out the Plan Look Back Teaching Elementary Mathematics Through Problem Solving April 26 - 28, 2016

Teaching through problem solving • Problems is given to the students at the start. • The problem is used as context to teach the topics as well as to develop skills and apply these skills to unfamiliar situations Teaching Elementary Mathematics Through Problem Solving April 26 - 28, 2016

What is critical thinking? It is the intellectually disciplined process of actively and skillfully conceptualizing, applying, analyzing, synthesizing, and/or evaluating information gathered from, or generated by observation, experience, reflection, reasoning, or communication, as guide to belief and action. Teaching Elementary Mathematics Through Problem Solving April 26 - 28, 2016

Experience Evaluating Reflection Teaching Elementary Mathematics Through Problem Solving April 26 - 28, 2016 Applying Critical Thinking Synthesizing Observation Analyzing Listening

Questioning to Promote Critical Thinking Teaching Elementary Mathematics Through Problem Solving April 26 - 28, 2016

Teaching Elementary Mathematics Through Problem Solving April 26 - 28, 2016

Prompts for Divergent questions • What if…? • Suppose that…? • How…? • Why…? • Given what you know about…, why…? • What can you conclude from…? Teaching Elementary Mathematics Through Problem Solving April 26 - 28, 2016

Teaching Elementary Mathematics Through Problem Solving April 26 - 28, 2016

COLLABORATIVE LESSON PLANNING? Learning Objectives Assessments Materials and Activities Teaching Elementary Mathematics Through Problem Solving April 26 - 28, 2016

Students vary in abilities, interests, attitudes, learning needs Task They approach the same learning task in different ways. Teaching Elementary Mathematics Through Problem Solving April 26 - 28, 2016

Why do we assess? Teaching Elementary Mathematics Through Problem Solving April 26 - 28, 2016

Assessment purposes Gauging Student Needs Encourage Collaboration and Self Direction Teaching Elementary Mathematics Through Problem Solving April 26 - 28, 2016 Monitoring Progress Checking Understanding Demonstrating Understanding

Ti. MSS 2011 Mathematics Framework Teaching Elementary Mathematics Through Problem Solving April 26 - 28, 2016

TIMSS 2011 Mathematics Framework Reasoning Applying Knowing Teaching Elementary Mathematics Through Problem Solving April 26 - 28, 2016

knowing recall compute measure recognize Recall definitions Recognize mathematical concepts retrieve Carry out algorithmic Retrieve information classify Use measuring instruments Classify objects/shapes Teaching Elementary Mathematics Through Problem Solving April 26 - 28, 2016

applying select model represent Select an efficient operation Display mathematical information implement Generate an appropriate model Implement a set of mathematical instructions Solve routine problems Teaching Elementary Mathematics Through Problem Solving April 26 - 28, 2016 Solve standard problems

reasoning analyze generalize integrate Solve nonroutine problems Teaching Elementary Mathematics Through Problem Solving April 26 - 28, 2016 justify Use relationships between variables Extend domain to which result of mathematical thinking Make connections Provide justification to known mathematical results Solve problems set in mathematical or real life contexts

Lesson Study Teaching Elementary Mathematics Through Problem Solving April 26 - 28, 2016

What is a lesson study? Lesson study, a form of collaborative practice, is a school-based professional development initiative that aims to enhance teaching and learning through the methodology of professional sharing of practice (Burghes & Robinson, 2009) Teaching Elementary Mathematics Through Problem Solving April 26 - 28, 2016

Lesson Study Process L A L B O Planning a Research Lesson O Implementation of the Research Lesson C R Post-lesson Reflection & Discussion N O Teaching Elementary Mathematics Through Problem Solving April 26 - 28, 2016 A I T

Phase One: Presentation of the Problem (10 minutes) Phase Two: Developing a Solution (15 minutes) Phase Three: Progress through discussion ( 10 minutes) Phase Four: Summarizing ( 10 minutes) Teaching Elementary Mathematics Through Problem Solving April 26 - 28, 2016

The end Teaching Elementary Mathematics Through Problem Solving April 26 - 28, 2016