"Innovating Workforce Education: Community Colleges at the Forefront of Registered Apprenticeship" explores Registered Apprenticeships in the United States, examining their increasing relevance to community colleges and the broader workforce development landscape. At its core, the apprenticeship model integrates paid employment with…

For many students biochemistry is a demanding course because they are expected to apply previously learned foundational concepts to new biological contexts. These foundational concepts serve as a scaffold onto which to build threshold concepts such as the physical basis of interactions. Unfortunately, many students possess misconceptions or gaps…

"The Cognitive Challenges of Effective Teaching," by Chew and Cerbin (2021) outlines a framework of nine cognitive challenges to student learning. The framework can help economic educators better design and describe new ideas for teaching in economics. In this article, the author highlights and expands upon ideas that are particularly…

This paper describes two myths that circulate widely about the potential of students with Learning Disabilities to learn mathematics: (1) that students with Learning Disabilities cannot benefit from inquiry-based instruction in mathematics, and only from explicit instruction; and (2) that students with Learning Disabilities cannot construct their…

The authors describe a research-based conceptual framework of how students learn that can guide the design, implementation, and troubleshooting of teaching practice. The framework consists of nine interacting cognitive challenges that teachers need to address to enhance student learning. These challenges include student mental mindset,…

Professional learning strategies often rely on the belief that teaching and learning outcomes are best when teachers have a clear understanding of students' thinking. This may seem like common sense -- after all, students are active participants in the learning process, so their thinking impacts the outcome. But does research support the…

Transitioning from teaching whole number operations to teaching fraction operations can prove difficult, even for the seasoned mathematics teacher. However, with effective literacy practices, teachers can seamlessly shift their students to learning the rules for fractions. The implications can be a mastery of mathematical language used to describe…

Gap reasoning is an inappropriate strategy for comparing fractions. In this article, Patrick Sullivan and Joann Barnett look at the persistence of this misconception amongst students and the insights teachers can draw about students' reasoning.

In this paper, a learning progression for geometric transformations is developed based on research that demonstrates the importance of viewing transformations as functions of the plane. The 5 levels of the progression reflect a student's evolving understanding of transformations as functions and their evolving understanding of the domain of these…

Evidence suggests the use of 'metacognitive strategies' -- which get pupils to think about their own learning -- can be worth the equivalent of an additional +7 months' progress when used well. However, while the potential impact of these approaches is very high, particularly for disadvantaged pupils, less is known about how to apply them…

Academic advisors see it all the time--skills successfully applied by underclassman in high school are not working in college. This article describes how advisors can help struggling students in self-monitoring and self-regulating their study experiences using metacognitive development as an intervention. Metacognition development includes…

"Modeling Mathematical Ideas" combining current research and practical strategies to build teachers and students strategic competence in problem solving.This must-have book supports teachers in understanding learning progressions that addresses conceptual guiding posts as well as students' common misconceptions in investigating and…

A visual representation, such as a diagram, can be a powerful strategy for solving mathematical word problems. However, using a representation to solve mathematical word problems is not as simple as it seems! Many students with learning disabilities struggle to use a diagram effectively and efficiently. This article provides a framework for…

Playing games in the mathematics classroom has seemingly become unfashionable. Is it that games suddenly are regarded as "lacking in purpose"? Maybe games are seen as incompatible with the "lesson plan and objectives"? Or is it that games and learning are not two words that are expected to appear in the same sentence? Prepare for the mythology…

This guidance report focuses on the teaching of mathematics to pupils in Key Stages 2 and 3. It is not intended to provide a comprehensive guide to mathematics teaching. We have made recommendations where there are research findings that schools can use to make a significant difference to pupils' learning, and have focused on the questions that…