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A review of recent research in the area of initial fraction concepts
9 references·9 citing·40 second hop
A review of recent research in the area of initial fraction concepts (1996)A review of recent research in the area o…Number Concepts and Operations in the Middle Grades (2025)Number Concepts and Operation…Analysis of Arithmetic for Mathematics Teaching (2020)Analysis of Arithmetic for Ma…Handbook of research on mathematics teaching and learning (1992)Handbook of research on mathe…A Constructivist Alternative to the Representational View of Mind in Mathematics Education (1992)A Constructivist Alternative …Fractions in Realistic Mathematics Education: A Paradigm of Developmental Research (1991)Fractions in Realistic Mathem…Learning Fractions with Understanding: Building on Informal Knowledge (1990)Learning Fractions with Under…Origins of cognitive skills (1986)Origins of cognitive skillsDidactical Phenomenology of Mathematical Structures (1985)Didactical Phenomenology of M…Acquisition of mathematics concepts and processes (1983)Acquisition of mathematics co…Are We There Yet? A Technique to Determine Theoretical Saturation (2015)Are We There Yet? A Technique…The impact of incorrect examples on learning fractions: A field experiment with 6th grade students (2013)The impact of incorrect examp…Developing teachers’ subject didactic competence through problem posing (2012)Developing teachers’ subject …A quantitative analysis of children's splitting operations and fraction schemes (2009)A quantitative analysis of ch…Units coordination and the construction of improper fractions: A revision of the splitting hypothesis (2007)Units coordination and the co…Fine grain assessment of students’ mathematical understanding: participatory and anticipatory stagesin learning a new mathematical conception (2007)Fine grain assessment of stud…Representing Fractions with Standard Notation: A Developmental Analysis. (2005)Representing Fractions with S…Young children's partitioning strategies (2000)Young children's partitioning…Clinical interview methods in mathematics education research and practice (1997)Clinical interview methods in…Truth and Method (1960)Reason, Truth and History (1981)Actual Minds, Possible Worlds. (1986)Instructional Tasks, Classroom Discourse, and Students' Learning in Second-Grade Arithmetic (1993)Cognitively Guided Instruction: A Knowledge Base for Reform in Primary Mathematics Instruction (1996)Explicating the Role of Mathematical Tasks in Conceptual Learning: An Elaboration of the Hypothetical Learning Trajectory (2004)Teachers of Mathematics (1948)Situated Cognition and the Culture of Learning (1989)Using Knowledge of Children's Mathematics Thinking in Classroom Teaching: An Experimental Study (1989)Confounding Whole-Number and Fraction Concepts When Building on Informal Knowledge (1995)Culturally Relevant Mathematics Teaching in a Mexican American Context (1997)Enhancing Students' Understanding of Mathematics: A Study of Three Contrasting Approaches to Professional Support (2001)Children's Minds (1978)Educating the reflective practitioner (1987)RADICAL CONSTRUCTIVISM (2010)Investigating the quality of mental models deployed by undergraduate engineering students in creating explanations: The case of thermally activated phenomena (2013)Students’ epistemological frames and their interpretation of lectures in advanced mathematics (2017)Mathematics as an Educational Task (1972)Subject matter knowledge for teaching and the case of functions (1990)Assessing Scientific, Reading and Mathematical Literacy (2006)The Future of Embodied Design for Mathematics Teaching and Learning (2020)Three Dimensions: A Model of Goal and Theory Description in Mathematics Instruction ― The Wiskobas Project (1986)“You're going to want to find out which and prove it”: collective argumentation in a mathematics classroom (1998)Measuring Student Knowledge and Skills (1999)Cur r iculum Resear ch : Tow ar d a Fr amew or k for "Resear ch -based Cur r icula" (2007)Images of rate and operational understanding of the fundamental theorem of calculus (1994)How Students Understand Physics Equations (2001)The development of students’ understanding of the numerical value of fractions (2004)Percent: A Privileged Proportion (1995)Seeing the Complexity of Standing to the Side: Instructional Dialogues (2005)From Parental Involvement to Children's Mathematical Performance: The Role of Mathematics Anxiety (2013)Misconceptions Reconceived: A Constructivist Analysis of Knowledge in Transition (1994)What Do New Views of Knowledge and Thinking Have to Say About Research on Teacher Learning? (2000)Teachers’ Mathematical Knowledge, Cognitive Activation in the Classroom, and Student Progress (2009)Time Constraints and Resource Sharing in Adults' Working Memory Spans. (2004)Time and cognitive load in working memory. (2007)Society, Culture, and Person: A Systems View of Creativity (2014)Developing Children's Understanding of the Rational Numbers: A New Model and an Experimental Curriculum (1999)Teaching for understanding (2003)The role of metacognitive skills in developing critical thinking (2010)
this work references cited by second hop

References

  • 1992Handbook of research on mathematics teaching and learning6,121 cited
  • 1986Origins of cognitive skills857 cited
  • 1983Acquisition of mathematics concepts and processes726 cited
  • 2025Number Concepts and Operations in the Middle Grades595 cited
  • 1992A Constructivist Alternative to the Representational View of Mind in Mathematics Education545 cited
  • 1985Didactical Phenomenology of Mathematical Structures426 cited
  • 1990Learning Fractions with Understanding: Building on Informal Knowledge282 cited
  • 1991Fractions in Realistic Mathematics Education: A Paradigm of Developmental Research280 cited
  • 2020Analysis of Arithmetic for Mathematics Teaching251 cited

Cited by

  • 1997Clinical interview methods in mathematics education research and practice143 cited
  • 2007Units coordination and the construction of improper fractions: A revision of the splitting hypothesis125 cited
  • 2015Are We There Yet? A Technique to Determine Theoretical Saturation114 cited
  • 2012Developing teachers’ subject didactic competence through problem posing98 cited
  • 2007Fine grain assessment of students’ mathematical understanding: participatory and anticipatory stagesin learning a new mathematical conception84 cited

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2009
A quantitative analysis of children's splitting operations and fraction schemes
66 cited
  • 2005Representing Fractions with Standard Notation: A Developmental Analysis.66 cited
  • 2013The impact of incorrect examples on learning fractions: A field experiment with 6th grade students62 cited
  • 2000Young children's partitioning strategies53 cited