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 …
Why is learning fraction and decimal arithmetic so difficult?
Fraction and decimal arithmetic are crucial for later mathematics achievement and for ability
to succeed in many professions. Unfortunately, these capabilities pose large difficulties for …
to succeed in many professions. Unfortunately, these capabilities pose large difficulties for …
Towards a theory of when and how problem solving followed by instruction supports learning
Recently, there has been a growing interest in learning approaches that combine two
phases: an initial problem-solving phase followed by an instruction phase (PS-I). Two often …
phases: an initial problem-solving phase followed by an instruction phase (PS-I). Two often …
Conceptual knowledge or procedural knowledge or conceptual knowledge and procedural knowledge: Why the conjunction is important to teachers
D Hurrell - Australian Journal of Teacher Education (Online), 2021 - search.informit.org
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 …
never more so than when discussing how teachers teach, and children learn mathematics …
Developing mathematics knowledge
B Rittle‐Johnson - Child Development Perspectives, 2017 - Wiley Online Library
Developing strong knowledge about mathematics is important for success academically,
economically, and in life, but many children fail to become proficient in math. Research on …
economically, and in life, but many children fail to become proficient in math. Research on …
Practicing connections: A framework to guide instructional design for developing understanding in complex domains
Research suggests that expert understanding is characterized by coherent mental
representations featuring a high level of connectedness. This paper advances the idea that …
representations featuring a high level of connectedness. This paper advances the idea that …
A test-based approach of modeling and measuring technological pedagogical knowledge
Teachers' technological pedagogical knowledge (TPK) is regarded as a critical prerequisite
to effectively use technology during teaching across content domains. Previous findings on …
to effectively use technology during teaching across content domains. Previous findings on …
Conceptual knowledge of fraction arithmetic.
RS Siegler, H Lortie-Forgues - Journal of Educational Psychology, 2015 - psycnet.apa.org
Abstract [Correction Notice: An Erratum for this article was reported in Vol 107 (3) of Journal
of Educational Psychology (see record 2015-09017-001). There were two rounding errors in …
of Educational Psychology (see record 2015-09017-001). There were two rounding errors in …
Promoting self-explanation to improve mathematics learning: A meta-analysis and instructional design principles
Promoting self-explanation (ie, generating explanations for oneself in an attempt to make
sense of new information) is a recommended study strategy and instructional practice. A …
sense of new information) is a recommended study strategy and instructional practice. A …
The Link between Higher Order Thinking Skills, Representation and Concepts in Enhancing TIMSS Tasks.
NM Tajudin, M Chinnappan - International Journal of Instruction, 2016 - ERIC
Students' performances in TIMSS have featured strongly in recent discussions and debates
about the quality of mathematical learning outcomes both from teachers and policy makers …
about the quality of mathematical learning outcomes both from teachers and policy makers …