Reasoning, Communication and Connections
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This fourth volume in the series of yearbooks by the Association of Mathematics Educators in Singapore entitled Reasoning, Communication and Connections 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 reasoning, communication and connections in mathematics classrooms.Several renowned international researchers in the field have published their work in this volume. The fifteen chapters of the book illustrate evidence-based practices that school teachers and researchers can experiment with in their own classrooms to bring about meaningful learning outcomes. Three major themes: mathematical tasks, classroom discourse, and connectivity within and beyond mathematics, shape the ideas underpinning reasoning, communication and connections in these chapters. The book makes a significant contribution towards mathematical processes essential for learners of mathematics. It is a good resource for mathematics educators and research students.Contents:Reasoning, Communication and Connections in Mathematics: An Introduction (Berinderjeet KAUR and TOH Tin Lam)The Epistemic Framing of Mathematical Tasks in Secondary Three Mathematics Lessons in Singapore (Ridzuan Abdul RAHIM, David HOGAN and Melvin CHAN)Modifying Textbook Exercises to Incorporate Reasoning and Communication into the Primary Mathematics Classroom (Denisse R THOMPSON)Some “What” Strategies that Advance Reasoning and Communication in Primary Mathematics Classrooms (Berinderjeet KAUR)Reasoning and Justification in the Secondary Mathematics Classroom (Denisse R THOMPSON)LOGO Project- Based Mathematics Learning for Communication, Reasoning and Connection (Hee-Chan LEW and In-Ok JANG)Reasoning, Communication and Connections in A-Level Mathematics (TOH Tin Lam)Visual and Spatial Reasoning: The Changing Form of Mathematics Representation and Communication (Tom LOWRIE)Understanding Classroom Talk in Secondary Three Mathematics Classes in Singapore (David HOGAN, Ridzuan Abdul RAHIM, Melvin CHAN, Dennis KWEK and Philip TOWNDROW)Mathematics Classroom Discourse Through Analogical Reasoning (Kyeong-Hwa LEE)Students' Reasoning Errors in Writing Proof by Mathematical Induction (Alwyn Wai-Kit PANG and Jaguthsing DINDYAL) Presenting Mathematics as Connected in the Secondary Classroom (LEONG Yew Hoong)Numeracy: Connecting Mathematics (Barry KISSANE) Making Connections Between School Mathematics and the Everyday World: The Example of Health (Marian KEMP)Mathematics, Astronomy and Culture: Helping Students See Connections (Helmer ASLAKSEN)Readership: Mathematics educators and teachers, research students.