Development of the Sci-math Sensemaking Framework: categorizing sensemaking of mathematical equations in science

FF Zhao, A Schuchardt - International Journal of STEM Education, 2021 - Springer
Scientific ideas are often expressed as mathematical equations. Understanding the ideas
contained within these equations requires making sense of both the embedded mathematics …

[图书][B] Learning and teaching early math: The learning trajectories approach

DH Clements, J Sarama - 2020 - taylorfrancis.com
The third edition of this significant and groundbreaking book summarizes current research
into how young children learn mathematics and how best to develop foundational …

[图书][B] How the brain learns mathematics

DA Sousa - 2007 - books.google.com
Learn how the brain processes mathematical concepts and why some students develop
math anxiety! David A. Sousa discusses the cognitive mechanisms for learning mathematics …

Reconceptualizing procedural knowledge

JR Star - Journal for research in mathematics education, 2005 - pubs.nctm.org
In this article, I argue for a renewed focus in mathematics education research on procedural
knowledge. I make three main points:(1) The development of students' procedural …

Core numerical skills for learning mathematics in children aged five to eight years–a working model for educators

P Aunio, P Räsänen - European early childhood education …, 2016 - Taylor & Francis
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 …

[图书][B] Individual differences in arithmetic: Implications for psychology, neuroscience and education

A Dowker - 2019 - taylorfrancis.com
Arithmetic is still hugely important in many aspects of modern life, but our personal attitudes
to it differ greatly. Many people struggle with the basic principles of arithmetic, whilst others …

A longitudinal study of invention and understanding in children's multidigit addition and subtraction

TP Carpenter, ML Franke, VR Jacobs… - Journal for research in …, 1998 - pubs.nctm.org
This 3-year longitudinal study investigated the development of 82 children's understanding
of multidigit number concepts and operations in Grades 1—3. Students were individually …

[PDF][PDF] Developing pedagogies in teacher education to support novice teachers' ability to enact ambitious instruction

E Kazemi, M Franke, M Lampert - … divides: Proceedings of the 32nd annual …, 2009 - Citeseer
What might it take to support novice teachers to develop the commitment and the capacity to
enact ambitious mathematics instruction? In this paper, we describe our experimentation …

Promoting transfer: Effects of self‐explanation and direct instruction

B Rittle‐Johnson - Child development, 2006 - Wiley Online Library
Explaining new ideas to oneself can promote transfer, but how and when such self‐
explanation is effective is unclear. This study evaluated whether self‐explanation leads to …

Success and failure in school mathematics: Effects of instruction and school environment

K Reusser - European Child & Adolescent Psychiatry, 2000 - Springer
Given the stubborn phenomenon of many children's serious difficulties and failure in
mathematical learning, the hypothesis of developmental delay, or neurocognitively based …