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Validating proofs and counterexamples across content domains: Practices of importance for mathematics majors
16 references·0 citing·35 second hop
Validating proofs and counterexamples across content domains: Practices of importance for mathematics majors (2012)Validating proofs and counterexamples acr…The Common Core State Standards for Mathematics (2015)The Common Core State Standar…Mathematics Majors' Perceptions of Conviction, Validity, and Proof (2010)Mathematics Majors' Perceptio…Enacting Proof-Related Tasks in Middle School Mathematics: Challenges and Opportunities (2010)Enacting Proof-Related Tasks …How Mathematicians Determine if an Argument Is a Valid Proof (2008)How Mathematicians Determine …Proof and Proving in School Mathematics (2007)Proof and Proving in School M…Proof validation in real analysis: Inferring and checking warrants (2005)Proof validation in real anal…Traditional instruction in advanced mathematics courses: a case study of one professor’s lectures and proofs in an introductory real analysis course (2004)Traditional instruction in ad…Validations of Proofs Considered as Texts: Can Undergraduates Tell Whether an Argument Proves a Theorem? (2003)Validations of Proofs Conside…A research companion to Principles and standards for school mathematics (2003)A research companion to Princ…Secondary School Mathematics Teachers' Conceptions of Proof (2002)Secondary School Mathematics …Radical Constructivism in Mathematics Education (2002)Radical Constructivism in Mat…Limits and continuity: some conceptions of first-year students (2001)Limits and continuity: some c…A Study of Proof Conceptions in Algebra (2000)A Study of Proof Conceptions …Unpacking the logic of mathematical statements (1995)Unpacking the logic of mathem…High school geometry students' justification for their views of empirical evidence and mathematical proof (1993)High school geometry students…Models of Limit Held by College Calculus Students (1991)Models of Limit Held by Colle…National Council of Teachers of Mathematics (1979)Designing qualitative research (1989)Qualitative evaluation and research methods (1990)Facilitating the Transition from Empirical Arguments to Proof (2009)Reasoning-and-Proving in School Mathematics Textbooks (2009)Expert and Novice Approaches to Reading Mathematical Proofs (2012)Mind in Society: The Development of Higher Psychological Processes (1978)The Uses of Argument (2003)Surprises from Mathematics Education Research: Student (Mis)use of Mathematical Definitions (2004)Opportunities to Learn Reasoning and Proof in High School Mathematics Textbooks (2012)Concept image and concept definition in mathematics with particular reference to limits and continuity (1981)Qualitative Analysis for Social Scientists (1987)Basics of Qualitative Research: Grounded Theory Procedures and Techniques. (1992)Self-Explanation Training Improves Proof Comprehension (2013)Theories-in-Action: Some Theoretical and Empirical Issues in the Study of Students' Conceptual Frameworks in Science (1983)Explorations of Students' Mathematical Beliefs and Behavior (1989)Proofs produced by secondary school students learning geometry in a dynamic computer environment (2000)Teachers' Conceptions of Proof in the Context of Secondary School Mathematics (2002)Generalization and Justification: The Challenge of Introducing Algebraic Reasoning Through Patterning Activities (2005)Learning How to Learn (1984)The Role of Logic in Teaching Proof (2003)An assessment model for proof comprehension in undergraduate mathematics (2011)The making of a teacher: teacher knowledge and teacher education (1991)Ethnographic Interview (2017)Six Psychological Studies (1967)Autopoiesis and Cognition (1980)Characteristics of Classroom Mathematics Traditions: An Interactional Analysis (1992)Prospective Elementary Teachers' Knowledge of Division (1993)Evolution and validation of a personal form of an instrument for assessing science laboratory classroom environments (1995)Keeping It Complex (2013)The Common Core State Standards in Mathematics (2015)A conceptual framework for integrated STEM education (2016)Racism and Psychological and Emotional Injury (2006)Video as a tool for fostering productive discussions in mathematics professional development (2007)The Influence of Teachers’ Knowledge on Student Learning in Middle School Physical Science Classrooms (2013)
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References

  • 2015The Common Core State Standards for Mathematics2,530 cited
  • 2003A research companion to Principles and standards for school mathematics1,127 cited
  • 2002Radical Constructivism in Mathematics Education555 cited
  • 2000A Study of Proof Conceptions in Algebra474 cited
  • 2002Secondary School Mathematics Teachers' Conceptions of Proof350 cited
  • 2007Proof and Proving in School Mathematics341 cited
  • 2003Validations of Proofs Considered as Texts: Can Undergraduates Tell Whether an Argument Proves a Theorem?340 cited
  • 1993High school geometry students' justification for their views of empirical evidence and mathematical proof340 cited
  • 2004Traditional instruction in advanced mathematics courses: a case study of one professor’s lectures and proofs in an introductory real analysis course249 cited
  • 1995Unpacking the logic of mathematical statements247 cited
  • 1991Models of Limit Held by College Calculus Students229 cited
  • 2008How Mathematicians Determine if an Argument Is a Valid Proof170 cited
  • 2001Limits and continuity: some conceptions of first-year students141 cited
  • 2010Enacting Proof-Related Tasks in Middle School Mathematics: Challenges and Opportunities140 cited
  • 2010Mathematics Majors' Perceptions of Conviction, Validity, and Proof

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136 cited
  • 2005Proof validation in real analysis: Inferring and checking warrants113 cited
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