In this article, the authors define numberless math stories and highlight three strategies for supporting equitable problem solving: (1) The Turn-and-Tell Strategy; (2) Storyboard and Story Mat; and (3) The Act-It-Out Strategy. These three strategies open up problem solving and give every student access to a challenging mathematics curriculum…

Spatial thinking permeates much of our lives and is an asset when solving problems involving well-structured visual information or imagining solutions in physical or digital space. However, an estimated three million US school children have spatial talents that go unrecognized because of the tools commonly used for identification of academic…

Spatial thinking permeates much of our lives and is an asset when solving problems involving well-structured visual information or imagining solutions in physical or digital space. However, an estimated three million US school children have spatial talents that go unrecognized because of the tools commonly used for identification of academic…

From the 1990s until 2017 the High Ability and Inquiry Research Group (HAIR) at McGill University in Montreal, received C$1.3M in research funds from Canadian, Quebec, and US agencies to support its research and graduate training in education and educational psychology. Their research encompassed two principal areas, Inquiry in Education and…

What are the nature, forms, and roles of metaphors in mathematics instruction? We present and closely analyze three examples of idiosyncratic metaphors produced during one-to-one tutorial clinical interviews with 11-year-old participants as they attempted to use unfamiliar artifacts and procedures to reason about realistic probability problems.…

Fifteen elementary and secondary teacher candidates solved sixteen integer addition and subtraction problems during think-aloud interviews. Investigators further probed participants' solution strategies as well as what they noticed first when starting a new problem. Task analyses of participants' solutions led to the creation of two distinct maps…

The 13th iteration of the International Conference on Educational Data Mining (EDM 2020) was originally arranged to take place in Ifrane, Morocco. Due to the SARS-CoV-2 (coronavirus) epidemic, EDM 2020, as well as most other academic conferences in 2020, had to be changed to a purely online format. To facilitate efficient transmission of…

Involving two or more academic subjects, interdisciplinary studies aim to blend together broad perspectives, knowledge, skills, and epistemology in an educational setting. By focusing on topics or questions too broad for a single discipline to cover, these studies strive to draw connections between seemingly different fields. Cases on…

This article scrutinizes the solutions of real-world problems by pupils and the evaluations of these by their teachers in a semi-rural school in Zimbabwe. Generally, real-world problems are solved as if these are standard problems expecting a solution and a correct answer. In most cases, the solutions of the pupils are considered correct by the…

The article deals with a particular aspect of the competencies-based approach in the curricula of basic and secondary education: the role of complex situations in learning. What should their role be so that education systems gain both in effectiveness and equity? Many research outcomes have shown that it is important to stress first and foremost…

The purpose of this article is to provide an overview of research-based interventions that incorporate self-regulation strategies to improve mathematics performance of students with learning disabilities (LD). Self-regulation is a metacognitive function essential to academic success. Students with LD are notoriously poor at self-regulation and…

Presents a set of problems for which there is a tendency for students to ignore part of the given information in the problem and substitute some extraneous assumptions. Discusses typical student reactions. (Author/ASK)

Explores self-regulated learning (SRL) theory in light of the reform vision of mathematics education depicted with "Principles and Standards for School Mathematics," asserting that implementation of mathematics reform makes possible the development of self-regulated learners while also necessitating developing self-regulated learners.…

As codirector of Harvard University's Project Zero, David Perkins has conducted long-term research programs on creativity, problem solving and reasoning, and learning in the arts, sciences, and everyday life. He explains a new program designed to help teachers connect thinking strategies with subject matter, so that students can better manage…

Discusses issues regarding problem solving environments via problem posing. Recognizes the importance of the teacher's questions; language characteristics of problems; problem structure and feature; solution structure; teacher's questions used before, during, or after solving a problem; and introducing problem-posing questions in mathematics…