This paper outlines a seven-step process for developing problem-solving tasks informed by cognitive load theory. Through an example of a task developed for Year 2 students, we show how this approach can be used to produce challenging mathematical tasks that aim to optimise cognitive load for each student.

Students in this post-industrial technological age require opportunities for the acquisition of new skills, especially in the marketplace of innovation. A pedagogical strategy that is becoming more and more popular within social studies classrooms is the use of computer and video games as enhancements to everyday lesson plans. Computer/video games…

Digital systems and digital technologies are globally investigated for their potential to transform learning, teaching and assessment towards offering unique learning experiences to the twenty-first century learners. This Special Issue on "Digital systems supporting cognition and exploratory learning in twenty-first century" aims to…

A cognitive model of how teachers plan instruction was validated in laboratory settings but remained to be tested empirically in authentic situations. The objective of this work is to describe and compare pedagogical reasoning in laboratory and authentic contexts and across expertise levels. The "state-driven hypothesis" and the…

This submission contains the Proceedings of the 2014 Annual Meeting of the Canadian Mathematics Education Study Group (CMESG), held at the University of Alberta in Edmonton, Alberta. The CMESG is a group of mathematicians and mathematics educators who meet annually to discuss mathematics education issues at all levels of learning. The aims of the…

NIER (National Institute of Educational Research, 2004) survey revealed that the most common attitude of Japanese high school students to mathematics is that "it is not useful in daily life but must be learnt for entrance examinations". It was also clarified that only 3.2 percent of mathematics teachers use computers in their classes.…

Problem solving in mathematics incorporates abstract thinking skills, number logic skills, and a nearly endless list of other factors. One problem-solving task required in university-level mathematics courses is integration. This study investigated instructor presentation of a specific problem-solving strategy and whether it impacted performance…

A justification for the study of teachers' routines, as they affect the preparation of lesson plans, prefaces this paper on teachers' thought processes during lesson planning. In focusing on the importance of research into teachers' routines, it is pointed out that lesson preparation and classroom routines permit teachers to direct attention to…

The document provides lesson plans for strengthening the thought processes, including problem solving and creative abilities, of first and second grade mentally gifted children. The lessons are organized within the five operations of the mind as defined by J. Guilford's Structure of Intellect (SOI): cognition (10 lessons), memory (3 lessons),…

The document provides lesson plans for strengthening the thought processes, including problem solving and creative abilities, of third and fourth grade mentally gifted children. The lessons are organized within the five operations of the mind as defined by J. Guilford's Structure of Intellect (SOI): cognition (10 lessons), memory (6 lessons),…

The document provides lesson plans for strengthening the thought processes, including problem solving and creative abilities, of fifth and sixth grade mentally gifted children. The lessons are organized within the five operations of the mind as defined by J. Guilford's Structure of Intellect (SOI): cognition (16 lessons), memory (7 lessons),…

The primary objective of this study was to describe those mental processes in which teachers engage while making preactive planning decisions. This objective was approached by means of a detailed descriptive case study of one elementary teacher's planning decisions for a five-month period. The study was designed to address a need for descriptions…

The document provides lesson plans for strengthening the thought processes, including problem solving and creative abilities, of seventh and eighth grade mentally gifted children. The lessons are organized within four of the five operations of the mind as defined by J. Guilford's Structure of Intellect (SOI): cognition (18 lessons), memory (9…

The primary objective of this study was to describe those mental processes involved in teacher planning decisions made prior to teaching. One elementary teacher's planning decisions were studied during five months of classroom instruction. Both ethnographic and information processing approaches were used to describe distinctive features of the…