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 …

Teaching and learning fraction and rational numbers: The origins and implications of whole number bias

Y Ni, YD Zhou - Educational psychologist, 2005 - Taylor & Francis
Many researchers agree that children's difficulty with fraction and rational numbers is
associated with their whole number knowledge, but they disagree on the origin of the whole …

The effects of computer programming on high school students' reasoning skills and mathematical self-efficacy and problem solving

S Psycharis, M Kallia - Instructional science, 2017 - Springer
In this paper we investigate whether computer programming has an impact on high school
student's reasoning skills, problem solving and self-efficacy in Mathematics. The quasi …

Processing capacity defined by relational complexity: Implications for comparative, developmental, and cognitive psychology

GS Halford, WH Wilson, S Phillips - Behavioral and brain sciences, 1998 - cambridge.org
Working memory limits are best defined in terms of the complexity of the relations that can be
processed in parallel. Complexity is defined as the number of related dimensions or sources …

Teachers' professional knowledge and noticing: The case of multiple representations in the mathematics classroom

A Dreher, S Kuntze - Educational Studies in Mathematics, 2015 - Springer
Teachers notice through the lens of their professional knowledge and views. This study
hence focuses not solely on teachers' noticing, but also on their knowledge and views …

[HTML][HTML] Relationship between ethnic identity, attitude, and mathematical creative thinking among secondary school students

S Suherman, T Vidákovich - Thinking Skills and Creativity, 2024 - Elsevier
Several studies have investigated the relationship between attitude, ethnicity, and
mathematical creative thinking among secondary school students. Nonetheless, there is a …

Children's problem posing within formal and informal contexts

LD English - Journal for Research in mathematics Education, 1998 - pubs.nctm.org
This study investigated the problem-posing abilities of third-grade children who displayed
different profiles of achievement in number sense and novel problem solving. The study …

The development of fifth-grade children's problem-posing abilities

LD English - Educational studies in Mathematics, 1997 - Springer
This one-year study involved designing and implementing a problem-posing program for
fifth-grade children. A framework developed for the study encompassed three main …

A modeling perspective on students' mathematical reasoning about data

HM Doerr, LD English - Journal for research in mathematics …, 2003 - pubs.nctm.org
A modeling approach to the teaching and learning of mathematics shifts the focus of the
learning activity from finding a solution to a particular problem to creating a system of …

Relational knowledge: The foundation of higher cognition

GS Halford, WH Wilson, S Phillips - Trends in cognitive sciences, 2010 - cell.com
Accumulating evidence on the nature, function and acquisition of relational knowledge
indicates a crucial role of such knowledge in higher cognitive processes. In this review, we …