Strategies are proposed that promote use of an Integrated Applied Mathematics (IAM) approach to enhance teaching of advanced problem-solving and analysis skills. Three scenarios of 1-dimensional transport processes are presented that support using Error Function analyses when considering short time/small penetration depths in finite geometries.…

Problem-based learning ignites hands-on exploration, ignites curiosity, and sparks lifelong problem-solvers. This Spotlight will help readers learn how virtual reality can be used for unique problem-solving and engagement; explore how students are publishing their research in peer-reviewed journals; uncover how after-school programs are helping…

Drawing on a social identity framework of mathematical development, the authors present a model, Improving Girls' Math Identity (IGMI), designed to address two key "leaks" in the female STEM pipeline: undergraduate and middle school. IGMI involves a supportive professional development network for undergraduate women preparing to…

This study was conducted to examine peer tutoring models in collaborative learning of mathematical problem solving (MPS) in flipped classrooms and their effect on group achievement. Quantitative data collected include 32 videos of eight groups of students in four MPS periods that were designed based on a simplified version of Polya's four-stage…

As a theory of skill acquisition, the instance theory of automatization posits that, after a period of training, algorithm-based performance is replaced by retrieval-based performance. This theory has been tested using alphabet-arithmetic verification tasks (e.g., is A + 4 = E?), in which the equations are necessarily solved by counting at the…

The African Data Initiative started as a crowd-sourced campaign to improve the teaching of statistics in African universities. The analysis of climate data provides one suitable context to illustrate ideas that lead to a radical new form of teaching. The problem within the context comes first, the technicalities are largely reduced -- mathematics…

Well-developed, problem-solving skills are essential for any student enrolled in a science, technology, engineering, and mathematics (STEM) course as well as for graduates in the workforce. One of the most essential skills is the ability to monitor one's own progress and understanding while solving a problem. Successful monitoring during the…

We consider here a number of ideas for the classroom or lecture theatre associated with the mensuration of solids. In particular, the volumes of various tetrahedra are obtained in an indirect manner (by way of prisms and square-based pyramids). This activity develops problem-solving skills, spatial visualization and a from-first-principles…

This book is about inclusivity and open education in the digital age. It reports the latest data on this topic from the 2021 Cognition and Exploratory Learning in the Digital Age (CELDA) conference. This annual conference focuses on challenges pertaining to the evolution of the learning process, the role of pedagogical approaches and the progress…

This paper reports on a study that investigated the ways that young children interact with discrete programmable digital toys in a free play setting. One intention was to see whether this interaction would address some of the requirements of the Digital Technologies subject in the Australian Curriculum. The study was implemented in two phases in…

This study shows the results of a two-year longitudinal study where the same participants were followed for two consecutive years as they enter secondary school (aged 12-14 years). The main issue was to investigate the development of both the quantity and the quality of metacognitive skills. Another issue was to establish whether the development…

Provides simple suggestions for educators to create problem-solving situations for children of all ages, even the very young. Emphasizes developing daily activities that build and reinforce these skills. (ET)

Designed to help stimulate the development of thinking skills in children of varying abilities and to review basic skills at all elementary grade levels, this book contains 153 "ready-to-go" classroom activities. Included are "total-group,""partner," and "individual" activities. Activities in the book are…

A project carried out in Peterborough County, Canada, resulted in the systematic development, implementation, and evaluation of a K-10 mathematics program and a steady increase in achievement among students in the county. (SK)

This paper documents the achievement monitoring component of a three-year study on the acquisition of addition-subtraction problem-solving skills by young children. A set of performance objectives contained in or ancillary to ten instructional units on sentence-writing for verbal problems and algorithms specified test content. Tests measuring…