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School Students' Confidence When Answering Diagnostic Questions Online
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Foster, Colin; Woodhead, Simon; Barton, Craig; Clark-Wilson, Alison – Educational Studies in Mathematics, 2022
In this paper, we analyse a large, opportunistic dataset of responses (N = 219,826) to online, diagnostic multiple-choice mathematics questions, provided by 6-16-year-old UK school mathematics students (N = 7302). For each response, students were invited to indicate on a 5-point Likert-type scale how confident they were that their response was…
Descriptors: Foreign Countries, Elementary School Students, Secondary School Students, Multiple Choice Tests
Inappropriately Applying Natural Number Properties in Rational Number Tasks: Characterizing the Development of the Natural Number Bias through Primary and Secondary Education
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van Hoof, Jo; Verschaffel, Lieven; van Dooren, Wim – Educational Studies in Mathematics, 2015
The natural number bias is known to explain many difficulties learners have with understanding rational numbers. The research field distinguishes three aspects where natural number properties are sometimes inappropriately applied in rational number tasks: density, size, and operations. The overall goal of this study was to characterize the…
Descriptors: Numbers, Elementary Secondary Education, Bias, Numeracy
Exploring One Student's Explanations at Different Ages: The Case of Sharon
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Levenson, Esther – Educational Studies in Mathematics, 2013
This study describes the types of explanations one student, Sharon, gives and prefers at different ages. Sharon is interviewed in the second grade regarding multiplication of one-digit numbers, in the fifth grade regarding even and odd numbers, and in the sixth grade regarding equivalent fractions. In the tenth grade, she revisits each of these…
Descriptors: Students, Females, Age Differences, Interviews
Teachers' Beliefs about School Mathematics and Mathematicians' Mathematics and Their Relationship to Practice
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Beswick, Kim – Educational Studies in Mathematics, 2012
There is broad acceptance that mathematics teachers' beliefs about the nature of mathematics influence the ways in which they teach the subject. It is also recognised that mathematics as practised in typical school classrooms is different from the mathematical activity of mathematicians. This paper presents case studies of two secondary…
Descriptors: Intellectual Disciplines, Beliefs, Relevance (Education), Secondary School Teachers
From Another Perspective--Training Teachers to Cope with Problematic Learning Situations in Geometry
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Gal, Hagar – Educational Studies in Mathematics, 2011
"From Another Perspective" is a year-long course for teachers of mathematics that is designed to enhance teachers' awareness of the way that their students think when they are experiencing difficulties in geometry. It also aims at equipping teachers with tools needed to analyze and cope with Problematic Learning Situations in geometry (Gal &…
Descriptors: Mathematics Teachers, Geometry, Teacher Attitudes, Junior High School Students
Assessment Reform in South Africa: Opening up or Closing Spaces for Teachers?
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Bansilal, Sarah – Educational Studies in Mathematics, 2011
This article presents a description of a South African mathematics teacher's struggles to mediate a new national assessment tool called the Common Tasks for Assessment with her grade 9 learners, who are unprepared for the assessment. The purpose of the study is to describe and to identify the constraints on the teacher's mediation attempts. The…
Descriptors: Foreign Countries, Mathematics Teachers, Educational Assessment, Grade 9