Not a one-way street: Bidirectional relations between procedural and conceptual knowledge of mathematics
There is a long-standing and ongoing debate about the relations between conceptual and
procedural knowledge (ie, knowledge of concepts and procedures). Although there is broad …
procedural knowledge (ie, knowledge of concepts and procedures). Although there is broad …
Defining and measuring conceptual knowledge in mathematics
NM Crooks, MW Alibali - Developmental review, 2014 - Elsevier
A long tradition of research on mathematical thinking has focused on procedural knowledge,
or knowledge of how to solve problems and enact procedures. In recent years, however …
or knowledge of how to solve problems and enact procedures. In recent years, however …
Developing conceptual and procedural knowledge of mathematics
B Rittle-Johnson, M Schneider - 2014 - academic.oup.com
Mathematical competence rests on developing knowledge of concepts and of procedures (ie
conceptual and procedural knowledge). Although there is some variability in how these …
conceptual and procedural knowledge). Although there is some variability in how these …
An integrated theory of whole number and fractions development
This article proposes an integrated theory of acquisition of knowledge about whole numbers
and fractions. Although whole numbers and fractions differ in many ways that influence their …
and fractions. Although whole numbers and fractions differ in many ways that influence their …
Core numerical skills for learning mathematics in children aged five to eight years–a working model for educators
The aim of this study was to model the most crucial numerical factors to the development of
mathematical skills among children aged five to eight years (ie kindergarten, preschool, first …
mathematical skills among children aged five to eight years (ie kindergarten, preschool, first …
Relations among conceptual knowledge, procedural knowledge, and procedural flexibility in two samples differing in prior knowledge.
M Schneider, B Rittle-Johnson… - Developmental psychology, 2011 - psycnet.apa.org
Competence in many domains rests on children developing conceptual and procedural
knowledge, as well as procedural flexibility. However, research on the developmental …
knowledge, as well as procedural flexibility. However, research on the developmental …
[HTML][HTML] Evaluating the effectiveness of a game-based rational number training-In-game metrics as learning indicators
It was argued recently that number line based training supports the development of
conceptual rational number knowledge. To test this hypothesis, we evaluated training effects …
conceptual rational number knowledge. To test this hypothesis, we evaluated training effects …
A componential view of children's difficulties in learning fractions
Fractions are well known to be difficult to learn. Various hypotheses have been proposed in
order to explain those difficulties: fractions can denote different concepts; their …
order to explain those difficulties: fractions can denote different concepts; their …
Mental number line, number line estimation, and mathematical achievement: their interrelations in grades 5 and 6.
As indicated by the distance effect and the spatial–numerical association of response codes
(SNARC) effect, natural numbers are mentally represented on a number line. Purportedly …
(SNARC) effect, natural numbers are mentally represented on a number line. Purportedly …
The landscape of research on prior knowledge and learning: A bibliometric analysis
Understanding the role of prior knowledge in human learning is essential for predicting,
improving, and explaining competence acquisition. However, the size and breadth of this …
improving, and explaining competence acquisition. However, the size and breadth of this …