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Problem Solving in Primary Mathematics is an essential text designed to support new and experienced teachers in guiding pupils through mathematical investigations and problem solving, offering a framework that children themselves can begin to adopt as they progress to greater metacognitive awareness. Underpinned by the latest international research and theory, it examines how individual pupils think and act differently and offers guidance on how to promote independence and autonomy in the classroom. It examines key topics such as: Preparing for mathematical learning Designing learning material Assessing and evaluating learning Identifying key points for intervention What to do when learning is stalled Critical numeracy for real-world problem solving Mental Model Theory and the Mental Model Mode Different approaches to problem solving and investigating Aimed at new and experienced educators, particularly those with a maths specialism, and illustrated with investigations and activities, Problem Solving in Primary Mathematics demonstrates how frameworks can be used in key mathematical areas and assists students in progressing towards more meaningful problem solving.
Problem Solving in Primary Mathematics is an essential text designed to support new and experienced teachers in guiding pupils through mathematical investigations and problem solving, offering a framework that children themselves can begin to adopt as they progress to greater metacognitive awareness. Underpinned by the latest international research and theory, it examines how individual pupils think and act differently and offers guidance on how to promote independence and autonomy in the classroom. It examines key topics such as: Preparing for mathematical learning Designing learning material Assessing and evaluating learning Identifying key points for intervention What to do when learning is stalled Critical numeracy for real-world problem solving Mental Model Theory and the Mental Model Mode Different approaches to problem solving and investigating Aimed at new and experienced educators, particularly those with a maths specialism, and illustrated with investigations and activities, Problem Solving in Primary Mathematics demonstrates how frameworks can be used in key mathematical areas and assists students in progressing towards more meaningful problem solving.
The research in this book aimed to determine how a study of a teacher's and students' mental models can inform the educational community about effective pedagogy. The research questions included the identification of the participants' mental models before, during, and immediately after applied problem-solving in a robotics programme. A more in-depth investigation exposed the teacher's and four of her students' mental models of teaching, learning, and assessment. Once these mental models had been established, the matches, mismatches, and/or changes over time of such mental models and the effect, if any, on teaching, learning, and assessment were examined. This empirical qualitative study was centred within information processing theory and linked with the introspection mediating process tracing paradigm and involved close contact with the participants over an extended period of time. The methodology focussed on learner centredness and how the participants integrated new experiences with existing conceptual, declarative, and procedural knowledge in the areas of teaching, learning, and assessment.
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