Morton's "language knowledge for content teaching" (LKCT) is a powerful tool for understanding interactions in content and language integrated learning (CLIL) classrooms, as well as CLIL teachers' knowledge base and teacher language awareness (TLA). However, often lacking in the body of research on TLA and LKCT is an explicit stance on…

It has become increasingly clear that the early use of decomposition for addition is associated with later mathematical achievement. This study examined how younger children execute a base-10 decomposition strategy to solve complex arithmetic (e.g. two-digit addition). 24 addition problems in two modalities (WA: Written Arithmetic; OA: Oral…

Today's complex problems transcend borders and require a collective and adaptive learning response. Literature suggests that, because the traditional hierarchical or positional style of leadership cannot effectively address problems we face today, leadership should take a more collaborative and systemic form. Rost (1991) characterized this new…

This paper is a critical systematic literature review of empirical work on creative pedagogies from 1990 to 2018. It responds to the increased international attention being afforded creativity and creative pedagogies in research, policy and practice and examines the evidence regarding creative pedagogical practices and the potential impact of…

Aim/Purpose: Although many computer science measures have been proposed, visualizing individual students' capabilities is difficult, as those measures often rely on specific tools and methods or are not graded. To solve these problems, we propose a rubric for measuring and visualizing the effects of learning computer programming for elementary…

According to the Programme for International Student Assessment, functions constitute an important part of mathematical literacy. In Japan, students start learning about bivariate relationships in the fourth grade (at the age of 9). However, reports suggest that elementary school students and lower-level secondary school (junior high) students…

The present study was motivated by theoretical considerations in cognitive linguistics associated with the concept projection as well as by theories in cognitive science related to self-directed learning on computers, to apply them in developing Japanese learners' knowledge of the different degrees of sureness attached to CERTAIN, PROBABLE, and…

This study examined how types of tasks influenced student activities/thinking and defined the role of Seatwork in mathematics lessons. It used 60 lessons from the TIMSS videotaped Study. These data indicated that practice was the most prevalent form of tasks in the U.S. In Germany, students completed mathematical calculations after a complex…

This study aims to establish a theory for planning and practicing mathematics instruction that enables children to actively construct mathematical knowledge. Four types of constructive interactions are recognized on the basis of teaching practice. Processes of the constructive interactions and the requirements for realization of effective…

Describes a method for teaching multiplication of fractions based on Piaget's constructivism. Instead of teaching the algorithm of multiplying the numerators and denominators, students are presented with many problems and ask to invent their own ways of solving them. (DDR)

Examines and identifies students' mental models of an abstract mathematical concept regarding intuition. Observes how students think reflectively on their mental models in a whole-class discussion in terms of logical thinking. (DDR)

Examines the performance of children in different grades as they attempt to solve simple equations involving addition and subtraction of integer numbers. The extended task involves creating a story that matches the equations. (DDR)

Due to its abstract, theoretical nature, the mole concept has been recognized as one of the most difficult topics to teach and learn within the chemistry curriculum. The purpose of this study was to chronicle the development of high school students' conceptions of the mole following a period of instruction in a chemistry class. This investigation…

The first volume of the 29th annual conference of the International Group for the Psychology of Mathematics Education contains plenary lecture and research forum papers as listed below. Short oral communications papers, poster presentations, brief summaries of discussion groups, and working sessions are also included in the volume. The plenary…

Fourth-grade control students were given a multiple-choice problem involving conservation of weight. Experimental group subjects were given a fictitious choice response distribution with conflicting reasons. Curiosity for confirmation, progress in generalizing the principle of conservation, and positive correlation between curiosity and progress…