# Developing Conceptual and Procedural Knowledge of Mathematics

@inproceedings{RittleJohnson2015DevelopingCA, title={Developing Conceptual and Procedural Knowledge of Mathematics}, author={Bethany Rittle-Johnson and Michael Schneider}, year={2015} }

Mathematical competence rests on developing knowledge of concepts and of procedures (i.e. conceptual and procedural knowledge). Although there is some variability in how these constructs are defined and measured, there is general consensus that the relations between conceptual and procedural knowledge are often bi-directional and iterative. The chapter reviews recent studies on the relations between conceptual and procedural knowledge in mathematics and highlights examples of instructional…

## 259 Citations

### Conceptual Knowledge OR Procedural Knowledge or Conceptual Knowledge AND Procedural Knowledge: Why the Conjunction is Important to Teachers

- Education
- 2021

The terms conceptual knowledge and procedural knowledge are often used by teachers and never more so than when discussing how teachers teach, and children learn mathematics. This paper will look at…

### Not a One-Way Street: Bidirectional Relations Between Procedural and Conceptual Knowledge of Mathematics

- Education
- 2015

There is a long-standing and ongoing debate about the relations between conceptual and procedural knowledge (i.e., knowledge of concepts and procedures). Although there is broad consensus that…

### Not a One-Way Street: Bidirectional Relations Between Procedural and Conceptual Knowledge of Mathematics

- EducationEducational Psychology Review
- 2015

There is a long-standing and ongoing debate about the relations between conceptual and procedural knowledge (i.e., knowledge of concepts and procedures). Although there is broad consensus that…

### Are conceptual knowledge and procedural knowledge empirically separable? The case of fractions.

- PsychologyThe British journal of educational psychology
- 2019

The findings indicate that the empirical separation of conceptual and procedural fraction knowledge is possible and a theoretically grounded test instrument was developed that allows measuring the knowledge types with a sufficient degree of validity.

### Individual Differences in Conceptual and Procedural Fraction Knowledge: What Makes the Difference and What Does it Look Like?

- Education
- 2020

There is a general consensus that both conceptual and procedural knowledge are essential for students’ mathematical development. A common argument is that differences in mathematical performance are…

### The relationship between grade 11 learners’ procedural and conceptual knowledge of algebra

- EducationJRAMathEdu (Journal of Research and Advances in Mathematics Education)
- 2021

The acquisition of procedural and conceptual knowledge is imperative for the development of problem solving skills in mathematics. However, while there are mixed research findings on the relationship…

### Theoretical and methodological issues in the study of conceptual and procedural knowledge: Reflections on a series of studies on Greek secondary students’ knowledge of fractions

- Education
- 2019

In this article we present an overview of four studies investigating Greek secondary students’ conceptual and procedural knowledge of fractions. We discuss the problem of defining conceptual and…

### Conceptual And Procedural Knowledge In Mathematics And Its Relationship To Mathematical Thinking Among Jordanian Teachers

- Education
- 2020

Here we investigate the level of conceptual and procedural knowledge in mathematics and its relation to mathematical thinking among the teachers of grades one to three in Jordan. In this quantitative…

### Conceptual and procedural approaches to mathematics in the engineering curriculum: views of qualified engineers*

- Business
- 2017

ABSTRACT The research interest underpinning this paper concerns the type of mathematical knowledge engineering students may acquire during their specialised education in terms of the conceptual and…

### Conceptual and Procedural Knowledge During Strategy Construction: A Complex Knowledge Systems Perspective

- Computer ScienceCognition and Instruction
- 2018

A new direction for studying the construction of novel strategies is elaborated that enables researchers to model the conceptual underpinnings of students' observable strategic actions during episodes of mathematical problem solving.

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