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Students’ proof schemes for mathematical proving and disproving of propositions
16 references·0 citing·33 second hop
Students’ proof schemes for mathematical proving and disproving of propositions (2015)Students’ proof schemes for mathematical …The Common Core State Standards in Mathematics (2015)The Common Core State Standar…Facilitating the Transition from Empirical Arguments to Proof (2009)Facilitating the Transition f…Proof and Proving in School Mathematics (2007)Proof and Proving in School M…Mathematics as a constructive activity: Learners generating examples (2006)Mathematics as a constructive…Mathematics as a Constructive Activity: Learners Generating Examples (2005)Mathematics as a Constructive…Validations of Proofs Considered as Texts: Can Undergraduates Tell Whether an Argument Proves a Theorem? (2003)Validations of Proofs Conside…The Role of Logic in Teaching Proof (2003)The Role of Logic in Teaching…Secondary School Mathematics Teachers' Conceptions of Proof (2002)Secondary School Mathematics …Radical Constructivism in Mathematics Education (2002)Radical Constructivism in Mat…Student difficulty in constructing proofs: The need for strategic knowledge (2001)Student difficulty in constru…A Study of Proof Conceptions in Algebra (2000)A Study of Proof Conceptions …Students’ proof schemes: Results from exploratory studies (1998)Students’ proof schemes: Resu…Justification in the mathematics classroom: A study of prospective elementary teachers (1996)Justification in the mathemat…Making the transition to formal proof (1994)Making the transition to form…High school geometry students' justification for their views of empirical evidence and mathematical proof (1993)High school geometry students…Piaget’s Theory (1976)Piaget’s TheoryNational Council of Teachers of Mathematics (1979)Designing qualitative research (1989)Qualitative evaluation and research methods (1990)Reasoning-and-Proving in School Mathematics Textbooks (2009)Expert and Novice Approaches to Reading Mathematical Proofs (2012)Protocol Analysis: Verbal Reports as Data (1986)Semantic and Syntactic Proof Productions (2004)Traditional instruction in advanced mathematics courses: a case study of one professor’s lectures and proofs in an introductory real analysis course (2004)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)The Discovery of Grounded Theory (2017)The Discovery of Grounded Theory (2017)The making of a teacher: teacher knowledge and teacher education (1991)Teachers' Conceptions of Proof in the Context of Secondary School Mathematics (2002)Ethnographic Interview (2017)Explorations of Students' Mathematical Beliefs and Behavior (1989)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)Adding It Up: Helping Children Learn Mathematics (2013)Academic literacy in mathematics for English Learners (2015)The Common Core State Standards for Mathematics (2015)Teacher and Teaching Effects on Students’ Attitudes and Behaviors (2016)Technology usage in mathematics education research – A systematic review of recent trends (2017)Categorization of Natural Objects (1981)Origins of the modern mind: three stages in the evolution of culture and cognition (1992)Barriers perceived to engaging with climate change among the UK public and their policy implications (2007)Modelling mathematical argumentation: the importance of qualification (2007)
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References

  • 1976Piaget’s Theory2,167 cited
  • 2015The Common Core State Standards in Mathematics774 cited
  • 2002Radical Constructivism in Mathematics Education555 cited
  • 1998Students’ proof schemes: Results from exploratory studies515 cited
  • 2000A Study of Proof Conceptions in Algebra474 cited
  • 1994Making the transition to formal proof468 cited
  • 2001Student difficulty in constructing proofs: The need for strategic knowledge405 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
  • 2005Mathematics as a Constructive Activity: Learners Generating Examples270 cited
  • 2006Mathematics as a constructive activity: Learners generating examples223 cited
  • 2009Facilitating the Transition from Empirical Arguments to Proof197 cited
  • 1996Justification in the mathematics classroom: A study of prospective elementary teachers191 cited

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  • 2003The Role of Logic in Teaching Proof152 cited
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