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Students' understandings of logical implication
16 references·7 citing·41 second hop
Students' understandings of logical implication (2002)Students' understandings of logical impli…The Uses of Argument (2003)The Uses of ArgumentConjectures and Refutations in Grade 5 Mathematics (2002)Conjectures and Refutations i…Explanation, Justification and Argumentation in Mathematics Classrooms. (2001)Explanation, Justification an…Proof, Explanation and Exploration: An Overview (2000)Proof, Explanation and Explor…A Study of Proof Conceptions in Algebra (2000)A Study of Proof Conceptions …Types of Students’ Justifications (1998)Types of Students’ Justificat…The curricular shaping of students' approaches to proof (1997)The curricular shaping of stu…On the Logical Integrity of Children's Arguments (1997)On the Logical Integrity of C…Sociomathematical Norms, Argumentation, and Autonomy in Mathematics (1996)Sociomathematical Norms, Argu…Challenges to the Importance of Proof. (1995)Challenges to the Importance …Proof Practices and Constructs of Advanced Mathematics Students (1994)Proof Practices and Construct…On intelligence - more or less : a bio-ecological treatise on intellectual development (1990)On intelligence - more or les…A study of pupils' proof-explanations in mathematical situations (1976)A study of pupils' proof-expl…Natural and contrived experience in a reasoning problem (1971)Natural and contrived experie…On the Failure to Eliminate Hypotheses in a Conceptual Task (1960)On the Failure to Eliminate H…The Growth of Logical Thinking (1959)The Growth of Logical ThinkingResearch-based interventions in the area of proof: the past, the present, and the future (2017)Research-based interventions …Identifying Kinds of Reasoning in Collective Argumentation (2014)Identifying Kinds of Reasonin…Reasoning-and-proving opportunities in elementary mathematics textbooks (2013)Reasoning-and-proving opportu…‘Warrant’ revisited: Integrating mathematics teachers’ pedagogical and epistemological considerations into Toulmin’s model for argumentation (2011)‘Warrant’ revisited: Integrat…Proof in School Mathematics: Insights from Psychological Research into Students' Ability for Deductive Reasoning (2008)Proof in School Mathematics: …Undergraduate students' understanding of the contraposition equivalence rule in symbolic and verbal contexts (2004)Undergraduate students' under…Which notion of implication is the right one? 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References

  • 2003The Uses of Argument7,099 cited
  • 1960On the Failure to Eliminate Hypotheses in a Conceptual Task2,104 cited
  • 1996Sociomathematical Norms, Argumentation, and Autonomy in Mathematics1,869 cited
  • 1959The Growth of Logical Thinking597 cited
  • 2000A Study of Proof Conceptions in Algebra474 cited
  • 1971Natural and contrived experience in a reasoning problem443 cited
  • 2000Proof, Explanation and Exploration: An Overview427 cited
  • 1976A study of pupils' proof-explanations in mathematical situations267 cited
  • 1990On intelligence - more or less : a bio-ecological treatise on intellectual development241 cited
  • 1995Challenges to the Importance of Proof.174 cited
  • 1997On the Logical Integrity of Children's Arguments164 cited
  • 2001Explanation, Justification and Argumentation in Mathematics Classrooms.137 cited
  • 2002Conjectures and Refutations in Grade 5 Mathematics136 cited
  • 1994Proof Practices and Constructs of Advanced Mathematics Students123 cited
  • 1998Types of Students’ Justifications122 cited
  • 1997The curricular shaping of students' approaches to proof

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  • 2013Reasoning-and-proving opportunities in elementary mathematics textbooks87 cited
  • 2003Which notion of implication is the right one? From logical considerations to a didactic perspective83 cited
  • 2004Undergraduate students' understanding of the contraposition equivalence rule in symbolic and verbal contexts82 cited
  • 2014Identifying Kinds of Reasoning in Collective Argumentation74 cited
  • 2011‘Warrant’ revisited: Integrating mathematics teachers’ pedagogical and epistemological considerations into Toulmin’s model for argumentation71 cited
  • 2008Proof in School Mathematics: Insights from Psychological Research into Students' Ability for Deductive Reasoning69 cited
  • 2017Research-based interventions in the area of proof: the past, the present, and the future67 cited