{"product_id":"conceptions-and-consequences-of-mathematical-argumentation-justification-and-proof-9783030800079","title":"Conceptions and Consequences of Mathematical Argumentation, Justification, and Proof","description":"\u003cp\u003e\u003c\/p\u003e\u003cblockquote\u003e\n\u003cbr\u003eThis book aims to advance debates in mathematics and mathematics education by analyzing classroom practice across grade levels using different conceptions of argumentation,justification,and proof. It considers the implications of each conception for research and practice and includes a synthesis chapter from an expert in the field. \u003c\/blockquote\u003e\u003cp\u003e\u003cstrong\u003eFormat\u003c\/strong\u003e: Hardback\u003cbr\u003e\u003cstrong\u003eLength\u003c\/strong\u003e: 333 pages\u003cbr\u003e\u003cstrong\u003ePublication date\u003c\/strong\u003e: 04 March 2022\u003cbr\u003e\u003cstrong\u003ePublisher\u003c\/strong\u003e: Springer Nature Switzerland AG\u003cbr\u003e\u003c\/p\u003e \u003cp\u003e\u003cbr\u003eThis book aims to delve deep into the ongoing discussions in the realm of mathematics and mathematics education, focusing on the conceptions of argumentation, justification, and proof. By conducting comprehensive analyses of classroom practices across different grade levels, researchers explore the profound implications of these constructs on empirical outcomes. Organized by grade bands, the authors adopt specific conceptions of argumentation, justification, and proof, and analyze one data set from each perspective. Additionally, each section features a synthesis chapter by an esteemed expert in the field, highlighting potential implications and raising intriguing new questions. The culmination of the book examines the application of each conception across grade bands and data sets, shedding light on their diverse roles and potential applications. This comprehensive exploration promises to advance our understanding of argumentation, justification, and proof in mathematics education and inspire further research and practice.\u003cbr\u003e\u003c\/p\u003e\u003cp\u003e\u003cbr\u003e\u003cstrong\u003eIntroduction:\u003c\/strong\u003e\u003cbr\u003eThe study of argumentation, justification, and proof has been a central focus in mathematics education for decades. These constructs play a crucial role in developing students' logical reasoning abilities, critical thinking skills, and problem-solving capacities. However, the conceptions of these constructs have varied widely across different cultures, educational systems, and mathematical disciplines. This book aims to advance ongoing debates in the field by exploring the consequences of applying particular conceptions of argumentation, justification, and proof in research and practice.\u003cbr\u003e\u003c\/p\u003e\u003cp\u003e\u003cbr\u003e\u003cstrong\u003eChapter 1:\u003c\/strong\u003e\u003cbr\u003eIn this chapter, the authors introduce the conceptions of argumentation, justification, and proof and their historical development. They discuss the different perspectives on these constructs, including logical, epistemological, and social perspectives. The authors also highlight the importance of these constructs in mathematics education and their potential impact on students' learning outcomes.\u003cbr\u003e\u003c\/p\u003e\u003cp\u003e\u003cbr\u003e\u003cstrong\u003eChapter 2:\u003c\/strong\u003e\u003cbr\u003eIn this chapter, the authors analyze classroom practices across different grade levels using different lenses. They examine how teachers use argumentation, justification, and proof in their teaching and how students respond to these practices. The authors identify the strengths and weaknesses of each conception and discuss the implications for research and practice.\u003cbr\u003e\u003c\/p\u003e\u003cp\u003e\u003cbr\u003e\u003cstrong\u003eChapter 3:\u003c\/strong\u003e\u003cbr\u003eIn this chapter, the authors present a synthesis of the findings from the previous chapters. They discuss the common themes and patterns that emerge from the analyses and identify the implications for research and practice. The authors also suggest new questions and areas for further exploration.\u003cbr\u003e\u003c\/p\u003e\u003cp\u003e\u003cbr\u003e\u003cstrong\u003eChapter 4:\u003c\/strong\u003e\u003cbr\u003eIn this chapter, the authors consider the use of each conception across grade bands and data sets. They discuss the challenges and opportunities associated with applying different conceptions and suggest strategies for effective teaching and learning. The authors also highlight the importance of ongoing research in this field to refine and improve our understanding of argumentation, justification, and proof.\u003cbr\u003e\u003c\/p\u003e\u003cp\u003e\u003cbr\u003e\u003cstrong\u003eConclusion:\u003c\/strong\u003e\u003cbr\u003eIn conclusion, this book aims to contribute to the ongoing debates in the field of mathematics and mathematics education regarding conceptions of argumentation, justification, and proof. By conducting comprehensive analyses of classroom practices across grade levels, the authors provide valuable insights into the implications of these constructs on empirical outcomes. The book offers valuable resources for researchers, educators, and policymakers interested in improving mathematics education.\u003c\/p\u003e\u003cp\u003e\u003cstrong\u003eWeight\u003c\/strong\u003e: 694g\u003cbr\u003e\u003cstrong\u003eDimension\u003c\/strong\u003e: 235 x 155 (mm)\u003cbr\u003e\u003cstrong\u003eISBN-13\u003c\/strong\u003e: 9783030800079\u003cbr\u003e \u003cstrong\u003eEdition number\u003c\/strong\u003e: 1st ed. 2022\u003c\/p\u003e","brand":"Shulph Ink","offers":[{"title":"Hardback","offer_id":44102882361594,"sku":"9783030800079","price":128.09,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0522\/4297\/2845\/products\/noImage_1_a6c4db5b-5bba-4ce4-add7-e97b6d456f95.jpg?v=1669552724","url":"https:\/\/shulphink.com\/products\/conceptions-and-consequences-of-mathematical-argumentation-justification-and-proof-9783030800079","provider":"Shulph Ink","version":"1.0","type":"link"}