Ideas foundational to calculus learning and their links to students' difficulties
PW Thompson, G Harel - ZDM–Mathematics Education, 2021 - Springer
Existing literature reviews of calculus learning made an important contribution to our
understanding of the development of mathematics education research in this area …
understanding of the development of mathematics education research in this area …
A systematic literature review of math interventions across educational settings from early childhood education to high school
Early math skills lay the foundation for children's long-term academic success. An increasing
number of randomized controlled math interventions have been carried out across …
number of randomized controlled math interventions have been carried out across …
Growth in children's understanding of generalizing and representing mathematical structure and relationships
We share here results from a quasi-experimental study that examines growth in students'
algebraic thinking practices of generalizing and representing generalizations, particularly …
algebraic thinking practices of generalizing and representing generalizations, particularly …
Earlier understanding of mathematical equivalence in elementary school predicts greater algebra readiness in middle school.
Does the timing of children's formal understanding of mathematical equivalence matter for
algebra readiness? A change-resistance account (McNeil & Alibali, 2005) predicts that it is …
algebra readiness? A change-resistance account (McNeil & Alibali, 2005) predicts that it is …
Seeds of algebraic thinking: a Knowledge in Pieces perspective on the development of algebraic thinking
In this paper, we elaborate the seeds of algebraic thinking perspective, drawing upon
Knowledge in Pieces as a heuristic epistemological framework. We argue that students' pre …
Knowledge in Pieces as a heuristic epistemological framework. We argue that students' pre …
Is a substitute the same? Learning from lessons centering different relational conceptions of the equal sign
AM Donovan, A Stephens, B Alapala, A Monday… - ZDM–Mathematics …, 2022 - Springer
Understanding of the equal sign is associated with early algebraic competence in the
elementary grades and equation-solving success in middle school. Thus, it is important to …
elementary grades and equation-solving success in middle school. Thus, it is important to …
The Effects of Polya's Problem Solving with Digital Bar Model on the Algebraic Thinking Skills of Seventh Graders.
J Jahudin, NM Siew - Problems of Education in the 21st Century, 2024 - ceeol.com
There is a dearth of empirical data to support the positive effects of problem solving (PS)
combined with digital technology in the classroom, despite claims that these activities …
combined with digital technology in the classroom, despite claims that these activities …
Third grade students' use of relational thinking
M Molina, E Castro - Mathematics, 2021 - mdpi.com
Current mathematics curricula have as one of their fundamental objectives the development
of number sense. This is understood as a set of skills. Some of them have an algebraic …
of number sense. This is understood as a set of skills. Some of them have an algebraic …
A learning trajectory in kindergarten and first grade students' thinking of variable and use of variable notation to represent indeterminate quantities
Given the importance of understanding and using indeterminate quantities in algebraic
thinking, the development of learning trajectories about how Kindergarten and first grade …
thinking, the development of learning trajectories about how Kindergarten and first grade …
The role of balance scales in supporting productive thinking about equations among diverse learners
This research focuses on ways in which balance scales mediate students' relational
understandings of the equal sign. Participants included 21 Kindergarten–Grade 2 students …
understandings of the equal sign. Participants included 21 Kindergarten–Grade 2 students …