The importance of introducing students to mechanistic reasoning (MR) early in their schooling is emphasised in research. The goal of this case study was to contribute with knowledge on how early primary students' (9-10 year-olds) MR in chemistry is expressed and developed in a classroom practice framed by model-based inquiry. The study focuses on…

In this article, we address a call by Thompson and Carlson to directly contribute to defining the variation of students' reasoning about varying quantities. We show that students as young as in sixth grade can engage in complex forms of reasoning about multiple quantities in contexts that involve exploring science phenomena using interactive…

There is strong evidence from research conducted in the United States that fraction magnitude understanding supports mathematics achievement. Unfortunately, there has been little research that examines if this relation is present across educational contexts with different approaches to teaching fractions. The current study compared fourth and…

A theoretical model describing young students' (Grades 1-3) functional-thinking modes was formulated and validated empirically (n = 345), hypothesizing that young students' functional-thinking modes consist of recursive patterning, covariational thinking, correspondence-particular, and correspondence-general factors. Data analysis suggested that…

Elementary standards include multiplication of single-digit numbers and students advance to solve complex problems and demonstrate procedural fluency in algorithms. The ability to illustrate procedural fluency in algorithms is dependent on the development of understanding and reasoning in multiplication. Development of multiplicative reasoning…

Serious video games (SVGs) are increasingly used as supplementary teaching tools for mathematics education. Several studies report their positive impact on student learning. However, these impacts are variable, and the success of the tools cannot be generalized or extended to all settings or disciplines without an in-depth look at the games…

Misconceptions in geometry are an essential problem in the understanding of geometric terms by primary and pre-primary aged children. Present research shows some misconceptions in geometry demonstrated in the understanding of circles, squares, triangles and oblongs for children in the last year of kindergarten and pupils in the last year of…

Professional development is an important part of creating a culture of continuous school improvement to maximize student learning. Rarely do we measure the impact of professional development on teacher learning, implementation and student outcomes. This study describes a professional development strategy for elementary teachers to promote…

Opportunities to generate model-based explanations are crucial for elementary students, yet are rarely foregrounded in elementary science learning environments despite evidence that early learners can reason from models when provided with scaffolding. We used a quasi-experimental research design to investigate the comparative impact of a scaffold…

Tests semantic integration and frequency tally models of memory among 60 first-, third-, and fifth-grade children. Data from third and fifth graders show different patterns of results for regular and anomalous stories. The true-inference error rate was significantly greater than the error rates for false premise and false-inference sentences in…

The relationship between memory and reasoning was investigated in three experiments involving children in grades one, four, and seven, and college students. Results indicated that performance was dependent on subjects' abilities to integrate relevant subskills, rather than on deficient reasoning or missing subskills. (RJC)

Derives two models for conceptualizing figure similarities from Piaget's developmental theory of spatial reference systems. An experiment on a two alternative forced-choice similarity matching task revealed age differences in observer dependence among children and young adults. Concludes that some Euclidian space concepts are achieved as formal…

This study evaluated the generally recommended concrete-to-abstract hierarchy for presenting a new skill, with three students with learning disabilities in grades 1, 2, and 4. The three subjects enrolled in the Multidisciplinary Diagnostic and Training Program's classroom housed on the University of Florida campus in Gainesville. Following…

This document is the fourth volume of the proceedings of the 29th Conference of the International Group for the Psychology of Mathematics Education. Conference papers are centered around the theme of "Learners and Learning Environments." This volume features 42 research reports by presenters with last names beginning between Mul and Wu:…