Developing Problem Solving Skills in Mathematics

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Developing Problem Solving Skills in Mathematics by Mind Map: Developing Problem Solving Skills in Mathematics

1. Facilitating Discussion

1.1. Name Generator This method I use to ensure that I am unbias in getting students to contribute to the class discussion. I have a pot with Popsicle sticks in, each stick with a students name in it. Every time I ask a question, I chose at random one of the sticks and that student will offer their answer. This is a good method to ensure all students have an opportunity to contribute.

1.2. Use a clear method for solving a problem, this has been discussed by Kady Dupre in her blog: 3 Strategies to Conquer Math Word Problems; Plan, Solve, Check steps. This model also has students checking their progress by making them ask questions in each step, for example: Are my strategies effective and efficient?

1.3. Keys to Productive Discussions in the Math Classroom This website offers a lot of different ideas on how to facilitate successful class discussion in the mathematics classroom. Teachers should carefully consider the questions that the pose to their students, as well as the possible methods they use and the misconceptions.

2. Practicing Questions

2.1. Scaffolding Strategies This strategy I would use to support my students in learning how to answer problem solving questions, the scaffolding would be differentiated depending on the students ability and confidence in answering the question. The scaffolding will be used to help students model their answers.

2.2. NRICH Activities This online resource provides a range of different tasks designed to help students develop their mathematical knowledge, problem-solving skills, mathematical thinking and create good mathematical habits. https://nrich.maths.org/curriculum-secondary

3. Facilitating Collaboration

3.1. Think, Pair, Share This strategy promotes student discussions by giving them the opportunity to discuss their thoughts and ideas with a partner. This method allows students the option to confirm their thinking before having to share it with the class, which to some students creates anxiety - what if they get the answer incorrect?

4. Set clear expectations and demonstrate model answers

5. Evaluation

5.1. Self Reflection: Ensuring students have the opportunity to review their learning, reflecting on their work in relation to the goals and expectations. They can also complete surveys to reflect on their progress.

5.2. Peer Assessment: Provides students the opportunity to review their peers work and evaluate their peers against the expectations and goals of the task. They can make suggestions on how to improve and what their peer has done well.

6. Students being responsible for learning

6.1. Self Monitoring Strategies This website gives a great overview of many different strategies that can be used to help students self monitor their learning: Self-Monitoring Strategies for Kids - The OT Toolbox