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Nurturing reflective learners in mathematics : yearbook 2013 /
This fifth volume in the series of yearbooks by the Association of Mathematics Educators in Singapore entitled Nurturing Reflective Learners in Mathematics is unique in that it focuses on a single theme in mathematics education. The objective is to encourage teachers and researchers to advance refle...
| Clasificación: | Libro Electrónico |
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| Autor Corporativo: | |
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Singapore :
World Scientific Pub. Co.,
2013.
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| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Chapter 1 Nurturing Reflective Learners in Mathematics: An Introduction Berinderjeet KAUR; 1 Introduction; 2 Fundamentals for Nurturing Reflective Learners; 3 Instructional Tools for Nurturing Reflective Learners; 4 Approaches to Teaching for Nurturing Reflective Learners; 5 Some Concluding Thoughts; References; Chapter 2 The Neurocognition of Reflection: The Mystery in Learning, the Essence of Teaching, From Mystery to Mastery Frank Chee Tet VOON; 1 Introduction; 2 How Do We Really Learn?; 3 The Two Phases of Understanding and Recall; 4 Neuroanatomy; 5 Neural Pathways
- 6 Wiring and Firing Together7 The Myelin Sheath; 8 New and Emerging Ideas in Neurocognition; 9 Deep Practice; 10 Neuronal Networks; 11 An Analogy of Learning Paths as Learning New Routes of Travel; 12 An Example of Collaborative Learning; 13 Use of Technology; 14 Neurocognition, Learning and Mastery; 15 Conclusion; Acknowledgements; References; Appendix; Chapter 3 Working with the Whole Psyche: Nurturing Reflective Learners John MASON; 1 Introduction; 2 Approach; 3 Preliminary Tasks; 3.1 Arithmetical relations & properties; 3.2 Recognition11; 4 Interlude on the Structure of the Psyche
- 5 Mathematical Themes5.1 Doing & undoing additively; 5.2 Doing & undoing unexpectedly; 5.3 Doing & undoing multiplicatively; 5.4 Reflections; 6 Geometry as Context; 6.1 Alternating sums of squares; 6.2 More alternating sums of squares; 6.3 The carpet theorem; 7 Area and Perimeter as Context; 7.1 More or less (perimeter and area); 8 Recognising Types of Numbers as Context; 8.1 Four consecutive sums; 8.2 Consecutive sums; 8.3 One more than the product of four consecutive numbers; 8.4 Sundaram's grid; 8.5 Generalising patterns from 2; 9 Reflection on Nurturing Reflection; References
- Chapter 4 Knowledge and Beliefs for Nurturing Reflective Learners of Rational Number Concepts Kim BESWICK1 Introduction; 2 Teacher Knowledge and Nurturing Reflective Learners; 3 Teacher Beliefs and Nurturing Reflective Learners; 4 Learning Rational Number Concepts; 5 Examples of Reflective Learning; 5.1 Understanding one third: Year 2; 5.2 Comparing fractions: Year 5; 5.3 Understanding equivalent fractions: Year 7; 6 Reflective Learners and the Teacher Knowledge and Beliefs that Support Them; 7 Conclusion; Acknowledgement; References
- Chapter 5 Metacognitive Reflection at Secondary Level WONG Khoon Yoong1 Introduction: Two Aspects of Metacognition; 2 Metacognition During Problem Solving; 2.1 Metacognitive processes and metacognitive questions; 2.2 Local studies about problem solving behaviours; 2.3 Teaching metacognition; 3 Equip Students to Regulate their Learning; 3.1 Local studies about learning strategies in mathematics; 3.2 Teaching self-regulation of learning; 4 Concluding Remarks; References