Not a one-way street: Bidirectional relations between procedural and conceptual knowledge of mathematics

B Rittle-Johnson, M Schneider, JR Star - Educational Psychology Review, 2015 - Springer
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 …

Why is learning fraction and decimal arithmetic so difficult?

H Lortie-Forgues, J Tian, RS Siegler - Developmental Review, 2015 - Elsevier
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 …

Towards a theory of when and how problem solving followed by instruction supports learning

K Loibl, I Roll, N Rummel - Educational psychology review, 2017 - Springer
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 …

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 …

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 …

Practicing connections: A framework to guide instructional design for developing understanding in complex domains

L Fries, JY Son, KB Givvin, JW Stigler - Educational Psychology Review, 2021 - Springer
Research suggests that expert understanding is characterized by coherent mental
representations featuring a high level of connectedness. This paper advances the idea that …

A test-based approach of modeling and measuring technological pedagogical knowledge

A Lachner, I Backfisch, K Stürmer - Computers & Education, 2019 - Elsevier
Teachers' technological pedagogical knowledge (TPK) is regarded as a critical prerequisite
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 …

Promoting self-explanation to improve mathematics learning: A meta-analysis and instructional design principles

B Rittle-Johnson, AM Loehr, K Durkin - ZDM, 2017 - Springer
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 …

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 …