Improving The Way Students Think & Communicate Mathematically Through MovieMaker & Producer Dr Chua Guat Kheng Education Technology Officer Technologies For Learning Ministry of Education (Singapore)

To improve the way students think & communicate mathematically Objective To improve the way students think & communicate mathematically

Tools Used Wheel of Reasoning (Dr Richard Paul) Habits of Mind (Dr Art Costa) MovieMaker (Microsoft) Producer (Microsoft)

Wheel of Reasoning (Dr Richard Paul) Purpose Questions Data Inference Concepts Assumptions Implications Point of View Guide students in the process of generating & analyzing ideas

16 Habits of The Mind (Dr Art Costa) Persisting Managing impulse Listening to others with empathy Thinking flexibly Thinking about thinking Striving for accuracy and precision Questioning and posing problems Applying past knowledge to new situations Thinking and communicating with clarity and precision Gathering data through all senses Creating, imagining, innovating Responding with wonderment & awe Taking responsible risks Finding humor Thinking inter-dependently Learning continuously

Area of focus on Habits of Mind . Thinking flexibly Striving for accuracy and precision Questioning and posing problems Applying past knowledge to new situations Thinking and communicating with clarity and precision Thinking inter-dependently Help students to explain the reasons and purposes for the actions taken by self and their partners.

Social Construction Of Mathematical Meaning Mathematics learning is a social and cognitive activity (Brown) Mathematical meaning and ideas can be constructed during negotiation. Ideas can be shared, resolved, and realized in problem solving activity, resulting in shared understanding. (Hung, Chua)

Tools for Thinking Appropriating Shared Understanding Ideas Mediating Mediating tools Appropriating Mediating Shared Understanding Ideas Wheel of Reasoning & Habits of Mind

Microsoft MovieMaker and Producer The Lesson Application of Congruency to Real Life Situation (3 minutes 44 seconds) Worksheet

Microsoft MovieMaker and Producer Learning objectives/outcomes To apply the concept of congruency to analyze a situation in real-life. To apply Richard Paul’s wheel of reasoning in the process of analyzing To understand that mathematical models are simulation of real world processes and products

Feedback on MS Producer In an inquiry-based lesson, it is not possible to fully predict the kind of questions the students will be asking. This mode of learning enables the pupils to experience: - how mathematical ideas can be represented in real life, - how real life situation models a mathematical concept, - there are limitations in application of mathematics, & - how to think like a mathematicians.

Feedback on MS Producer Use of IT: Video: Real-life applications can be brought into the classroom. This allows for the scenario to be discussed in the classroom environment Easy to use : Able to create and develop the lesson within a reasonable time. This prevents copyright issues, as the materials can be self-created.

Feedback on MS Producer Use of IT: Thinking: Feature of ppt and video appearing side by side enables teacher to provide information and questions related to the video ahead of time (predictable one) to guide the pupils in the thinking process. Learn at own pace: Each group of pupils can discuss at their own pace. Time for teacher to go round to assist, clarify and questioning. The video can be paused for reflection, discussion, or repeated for review

Observations Expansion of vocabulary. More conscious effort on the part of the students to use the appropriate terminologies especially when they are explaining their process of solving a problem. Quality of responses have improved. Ask more questions.

~ Thank You ~