Limited literature addresses how elementary preservice teachers (PSTs) can advance their thinking about hierarchical geometric relationships. Informed by a commognitive perspective, we investigated this phenomenon as a matter of discursive change, focusing on word use, visual mediators, and narratives. We report on a teaching experiment involving…

A new didactical approach named "Learning by Being" (LBB) is proposed and its correlation with current educational paradigms in science teaching is analysed. The key idea in LBB is the assumption by the students of cognitive goals, and three components are mandatory in LBB: a) student's personal learning effort, b) student-teacher mutual…

Transactive discussion during collaborative learning is crucial for building on each other's reasoning and developing problem solving strategies. In a tabletop collaborative learning activity, student actions on the interface can drive their thinking and be used to ground discussions, thus affecting their problem-solving performance and learning.…

This research discusses the close relationship between visual literacy, the ability to read, understand, and create visual texts -- and elementary school books, particularly children's picture books. It aims to explore the visual literacy parameters in English elementary textbooks published by the Indonesian Ministry of Education and Culture. In…

Despite significant research exploring students' quantitative reasoning, few studies have explored the semiotic processes that mediate its development. In this report, we present a case study to show how one student constructed a semiotic chain for a quantity as he worked with a mathematical task. Importantly, we connect frameworks for…

We investigate teacher beliefs about discourses for equation solving and the challenges these beliefs might pose for the implementation of instructional practices that promote deductive reasoning in algebra. To uncover these beliefs, we recorded three video explanations of solutions to the same linear equation with distinct discursive…

In the present study, we tested the hypotheses that: a) there are individual differences in secondary students' conceptual and procedural fraction knowledge, and b) these differences are predicted by students' approach (deep vs. surface) to mathematics learning. We used two instruments developed and evaluated for the purposes of the study which…

Statistical terms are used in everyday language and, at times, used in non-statistical ways. It is often assumed students understand statistical terms because of their common use; however, research into their understanding of specific statistical terms is scant. This report focuses on 58 Year 3 students' responses to the basic question, "What…

This paper demonstrates how to apply Machine Learning (ML) techniques to analyze student interaction data collected in an online mathematics game. We examined: (1) how different ML algorithms influenced the precision of middle-school students' (N = 359) performance prediction; and (2) what types of in-game features were associated with student…

The purpose of this study is to measure the development of students' conceptual understanding of basic physics concepts at introductory physics courses at the University of Latvia. The authors of the research have translated, tested and verified the Force Concept Inventory and other Concept Inventories in the context of Latvian education system.…

Prior knowledge has long been recognized as an important predictor of learning, yet the term prior knowledge is often applied to related but distinct constructs. We define a specific form of prior knowledge, ancillary knowledge, as knowledge of concepts and skills that enable learners to gain the most from a target lesson. Ancillary knowledge is…

This report documents how one undergraduate student used set-based reasoning to reinvent logical principles related to conditional statements and their proofs. This learning occurred in a teaching experiment intended to foster abstraction of these logical relationships by comparing the predicate and inference structures among various proofs (in…

The domain of motion or kinematics is important because it forms the basis of mechanics, an important branch of physics. By studying kinematic phenomena in the laboratory, high school students are likely to develop a better understanding of kinematics concepts as well as elements of the scientific approach to study natural and constructed…

This paper reports on a study of learners' use of immersive spatial diagrams to make arguments about three-dimensional geometric figures. Immersive spatial diagrams allow learners to use the movement of their bodies to control their point of view, while immersed in three-dimensional digital renderings. We present analysis of two pairs of…

This position paper proposes that a relationship between young children's embodied mathematical concepts and their awareness of mathematical pattern and structure (AMPS) (Mulligan & Mitchelmore, 2009) develops through play. Theoretical perspectives on the development of schematic patterns, the embodiment of mathematical understandings, and the…