Approaching Proof in School: From Guided Conjecturing and Proving to a Story of Proof Construction (original) (raw)

Understanding and Transforming University Students’ Learning of the Proof Construction Process in Mathematics, an NSF Proposal, written 2010.

ANNIE SELDEN

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The teaching of proof

Nitsa Movshovitz-Hadar

2003

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Understanding the Proof Construction Process. In F-L. Lin, F-J. Hsieh, G. Hanna, & M. deVilliers (Eds.), Proceedings of the ICMI 19 Study Conference: Proof and Proving in Mathematics Education, Vol. 2 (pp. 196-201), May 2009.

John Selden

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A Theoretical Perspective for Proof Construction, Powerpoint Presentation, 18th Annual Conference on Research in Undergraduate Mathematics Education, February 2015

ANNIE SELDEN

2015

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Some pedagogical aspects of proof

Gila Hanna

Interchange, 1990

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MATHEMATICAL PROVING ON SECONDARY SCHOOL LEVEL I: SUPPORTING STUDENT UNDERSTANDING THROUGH DIFFERENT TYPES OF PROOF. A …

Esther Brunner

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Mathematicians’ perspectives on the teaching and learning of proof

Lara Alcock

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Proof, Proving and Mathematics Curriculum

Dr. Thomas Varghese MSc, MEd, PhD

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Teaching Advanced Students to Construct Proofs, longer version. Shorter version appeared in O. Figueras, J. L. Cortina, S. Alatorre, T. Rojano, & A. Sepulveda (Eds.), Proceedings of the Joint Meeting of PME 32 and PME-NA XXX (p. I-305), 2008.

John Selden

2008

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Secondary students' proof schemes during the first encounters with formal mathematical reasoning: appreciation, fluency and readiness

Ioannis Kanellos

2014

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An expanded theoretical perspective for proof construction and its teaching

ANNIE SELDEN

2017

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Towards a Comprehensive Conception of Mathematical Proof

Journal of Education and Learning (EduLearn)

Journal of Education and Learning (EduLearn), 2018

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Teaching Proving by Coordinating Aspects of Proofs with Students' Abilities. Tennessee Technological University Mathematics Department Technical Report. No. 2007-2

ANNIE SELDEN, John Selden

1. Tennessee Technological University Mathematics Department Technical Report No. 2007-2., 2007

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Teaching Advanced Students to Construct Proofs, PME 32 in Mexico, July 2008.

ANNIE SELDEN

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Approaching Proof in the Classroom Through the Logic of Inquiry

Ferdinando Arzarello

Compendium for Early Career Researchers in Mathematics Education, 2019

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An expanded theoretical perspective for proof construction and its teaching, accepted for presentation, CERME-10, Dublin, Ireland, February 2017.

John Selden

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Teaching Proving by Coordinating Aspects of Proofs with Students' Abilities

John Selden

Routledge eBooks, 2010

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Teaching Proving by Coordinating Aspects of Proofs with Students' Abilities, 2009

ANNIE SELDEN

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Mathematicians’ Perspectives on Features of a Good Pedagogical Proof

Yvonne Lai

Cognition and Instruction, 2012

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Overcoming Students' Difficulties in Learning How to Understand and Construct Proofs. Tennessee Technological University Mathematics Department Technical Report. No. 2007-1

John Selden

Online Submission, 2007

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Conjecturing, Generalizing and Justifying: Building Theory around Teacher Knowledge of Proving

Kristin Lesseig

International Journal for mathematics teaching and learning, 2016

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Proof Construction Perspectives: Structure, Sequences of Actions, and Local Memory, Hanover Conference on "Didactics of Mathematics in Higher Education as a Scientific Discipline", revised version, submitted February 14, 2016.

ANNIE SELDEN

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PROVING AND PROOF AS AN EDUCATIONAL TASK

maria alessandra Mariotti

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Overcoming students' difficulties in learning to understand and construct proofs, 2008

ANNIE SELDEN

TTU Technical Report

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Proof in mathematics education: research, learning and teaching

David Reid

Research in Mathematics Education, 2011

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Prospective Teachers’ Conceptions of Proof Comprehension: Revisiting a Proof of the Pythagorean Theorem

Rina Zazkis

International Journal of Science and Mathematics Education, 2015

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Technical Report: Overcoming Students' Difficulties in Learning to Understand and Construct Proofs

ANNIE SELDEN

2007

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Proof schemes combined: mapping secondary students’ multi-faceted and evolving first encounters with mathematical proof

ELENA NARDI

Mathematical Thinking and Learning

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Beyond direct proof in the approach to the culture of theorems: a case study on 10-th grade students’ difficulties and potential

Fiorenza Turiano

Le Centre pour la Communication Scientifique Directe - HAL - Inria, 2019

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An exploratory teaching style in promoting the learning of proof

Gila Hanna

2017

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Revisiting the functions of proof in mathematics classrooms: A view from a theory of instructional exchanges

Takeshi Miyakawa

2010

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Transforming Perceptions of Proof: A Four-Part Instructional Sequence

Sean Yee

Mathematics Teacher Educator, 2015

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Possible Student Justifications of Mathematical Proof

Dr. Thomas Varghese MSc, MEd, PhD

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Mathematicians' perspectives on FEATURES OF A GOOD PEDAGOGICAL PROOF

Yvonne Lai

2016

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The Role of Logic in the Proofs of Mathematics Students, draft version, DIMACS Symposium on Teaching Logic and Reasoning, Rutgers University, 25--26 July 1996.

ANNIE SELDEN

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