This study aimed to explore the admitted students of Finnish primary teacher education programmes from the viewpoint of learning strategies, and academic success. An overall view was derived from national register data, which were supplemented with questionnaire data gathered from three teacher education units (N = 216). Primary teacher programmes…

Student problems (preconceptions, errors, and learner-specific approaches) that arise when planning and conducting experiments are relevant for lesson planning and the further development of teaching practice overall. student problems are understood as a learning opportunity. So far, little attention has been paid to the relationships between…

The perfect guide to help you embed metacognitive approaches to your teaching. What is metacognition and how can you use it in your teaching? Metacognition -- being aware of our own ways of thinking -- is popular in education, but it is not always obvious how it links to teaching practice and how to teach it explicitly. This book translates…

This study investigates how utilizing student-invented strategies in the classroom can inform teachers' pedagogical content knowledge. Two elementary school teachers participated in professional development discussing the benefits of invented strategies. Data was then gathered as the participants implemented this practice in their classrooms. Data…

Background: Being able to think independently is a must for students to construct new knowledge in their minds. Self-explaining is a constructive learning strategy that encourages students to think for themselves and to make inferences that go beyond the given information. The Self-explain--Discuss--Re-explain (SDR) strategy adapted from…

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.

The paper describes one problem solving strategy -- the Use of false assumption. The objective of the paper is to show, in accordance with Phylogenesis and Ontogenesis Theory, that it is worthwhile to reiterate the process of development of the concept of a variable and thus provide to pupils one of the ways helping them to eliminate usual…

Metacognition is central to children's cognitive development. However, there is conflicting evidence about children's ability to accurately monitor their performance and subsequently control their behavior. This is of particular interest for mathematics topics on which children exhibit persistent misconceptions--that is, when children's knowledge…

Making sense of fractions is critical for building the mathematical competence of upper elementary students with and at-risk for a mathematics learning disability. The primary aim of this study was to investigate the effectiveness of teaching students with and at-risk for learning disabilities an intervention in which they learned to construct…

"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…

In this study, I examine how using a writers' workshop model in mathematics creates a space for students to write about their mathematical thinking and problem solving and how their writing impacts instruction. This case study of one classroom with one teacher spanned 6 weeks and included 18 implementations of an adapted version of the Writers'…

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…

What is the journey of acquiring language? What is the journey of sharing it? These are the questions that compelled the hermeneutic phenomenological investigation (Gadamer, 1960/2004; van Manen, 1997) that led to this paper. Guided by the voice of Heidegger (1954/2008), I discovered the necessity of "un-learning to learn" in order to hear the…