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Buchholtz, Nils Frederik; Krosanke, Nadine; Orschulik, Anna B.; Vorhölter, Katrin – ZDM: The International Journal on Mathematics Education, 2018
Contrary to the opinion that formative and summative assessment approaches are not compatible, this article presents a theoretically grounded way in which different forms of assessment can be combined and integrated in university mathematics teacher education. Two mixed-assessment approaches are demonstrated through the analysis of a case study…
Descriptors: Mathematics Education, Preservice Teacher Education, Formative Evaluation, Summative Evaluation
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Fujita, Taro; Jones, Keith; Miyazaki, Mikio – ZDM: The International Journal on Mathematics Education, 2018
Much remains under-researched in how learners make use of domain-specific feedback. In this paper, we report on how learners' can be supported to overcome logical circularity during their proof construction processes, and how feedback supports the processes. We present an analysis of three selected episodes from five learners who were using a…
Descriptors: Feedback (Response), Geometry, Geometric Concepts, Computer Mediated Communication
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Neubrand, Michael – ZDM: The International Journal on Mathematics Education, 2018
Different conceptualizations exist about the components of the knowledge teachers need to teach mathematics with professional consciousness, and a researcher needs to describe and assess that knowledge. The fact, however, is that different conceptualizations respond to different needs, and thus, the variety is even a chance to develop the field…
Descriptors: Knowledge Base for Teaching, Teacher Competency Testing, Teacher Evaluation, Evaluation Methods
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Semana, Sílvia; Santos, Leonor – ZDM: The International Journal on Mathematics Education, 2018
Considering that learning belongs primarily to the student, student self-regulation capacity is essential to ensure mathematics learning. Poor self-regulation limits students' mathematical performance and their ability to participate fully in classroom discourse. By enhancing self-regulation it is possible to improve students' equitable…
Descriptors: Metacognition, Middle School Students, Qualitative Research, Intervention
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Martinovic, Dragana; Manizade, Agida G. – ZDM: The International Journal on Mathematics Education, 2018
In our research, we focused on the design of assessment instruments for measuring teachers' mathematical knowledge for teaching geometry. Since 1987 when Lee Shulman conceptualized pedagogical content knowledge, different research groups have expanded on this construct and developed their own measurement instruments. The strengths and limitations…
Descriptors: Geometry, Mathematics Instruction, Pedagogical Content Knowledge, Delphi Technique
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Nortvedt, Guri A.; Buchholtz, Nils – ZDM: The International Journal on Mathematics Education, 2018
In educational contexts, assessments may be designed to target students, preservice teachers, or teachers, either as individuals or as representatives of a group, and for a multitude of purposes. One key aim of assessment in mathematics education is to provide evidence that can be used to make decisions about or improve mathematics education,…
Descriptors: Mathematics Education, Educational Policy, Equal Education, Evaluation Methods
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Yang Hansen, Kajsa; Strietholt, Rolf – ZDM: The International Journal on Mathematics Education, 2018
International assessments of mathematics have shown persistent and widely intensified socioeconomic inequalities in achievement worldwide over the last decades. Such achievement gaps may partly be due to the differences in students' personal and family characteristics. They may also be attributed to the schooling itself if school systems provide…
Descriptors: Equal Education, Mathematics Achievement, Mathematics Instruction, Achievement Tests
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Ubuz, Behiye; Aydin, Utkun – ZDM: The International Journal on Mathematics Education, 2018
In the present study we aimed to develop a multidimensional test assessing high school students' knowledge about triangles, and then to determine the validity evidence for it based on the internal structure and relations to another variable and its reliability. The test developed was administered to 557 tenth grade students. To assess the validity…
Descriptors: Geometry, Knowledge Level, Cognitive Tests, Evidence
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Burkhardt, Hugh; Schoenfeld, Alan – ZDM: The International Journal on Mathematics Education, 2018
This paper begins with a brief overview of literature indicating that, although there have been significant advances in the field's capacity to conduct both formative and summative assessments over the past decades, those advances have not been matched by comparable impact. The bulk of the paper is devoted to a series of examples from the…
Descriptors: Mathematics Instruction, Evaluation Methods, Student Evaluation, Formative Evaluation
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Lin, Fou-Lai; Wang, Ting-Ying; Chang, Yu-Ping – ZDM: The International Journal on Mathematics Education, 2018
This paper discusses the effects of large-scale studies, including international comparative studies and national studies using nationally representative samples, on policy making and practices pertinent to mathematics education in Taiwan, through the lens of Taiwanese societal and cultural characteristics. Taiwan has been through several…
Descriptors: Foreign Countries, International Studies, Policy Formation, Mathematics Education
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Pankow, Lena; Kaiser, Gabriele; König, Johannes; Blömeke, Sigrid – ZDM: The International Journal on Mathematics Education, 2018
The ability to offer constructive feedback to students concerning their errors is an indispensable requirement for mathematics teachers, for the purpose of providing cognitively challenging learning opportunities. However, if they are to react adequately, teachers need to identify student errors immediately. The fast perception of student errors…
Descriptors: Mathematics Instruction, Feedback (Response), Error Patterns, Teacher Competencies
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Leder, Gilah C.; Forgasz, Helen J. – ZDM: The International Journal on Mathematics Education, 2018
Assessment in mathematics is assumed to provide credible and important information about what students know and can do. In this paper we focus on large scale tests and question whether mathematics assessment is essentially gender neutral. We consider aspects of test validity and discuss issues of terminology related to gender and mathematics. In…
Descriptors: Mathematics Education, Evaluation Methods, Gender Bias, Test Content
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Heritage, Margaret; Wylie, Caroline – ZDM: The International Journal on Mathematics Education, 2018
In many parts of the world, there is an increased demand for effectiveness and equity in education and for the development of students who see themselves as lifelong learners to meet economic and social challenges. Assessment for learning (AfL) can play a significant role in achieving these three demands. The purpose of AfL is to inform learning,…
Descriptors: Formative Evaluation, Foreign Countries, Feedback (Response), Equal Education
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Hoogland, Kees; Tout, Dave – ZDM: The International Journal on Mathematics Education, 2018
In recent decades, technology has influenced various aspects of assessment in mathematics education: (1) supporting the assessment of higher-order thinking skills in mathematics, (2) representing authentic problems from the world around us to use and apply mathematical knowledge and skills, and (3) making the delivery of tests and the analysis of…
Descriptors: Computer Assisted Testing, At Risk Persons, Mathematics Education, Thinking Skills
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Geiger, Vince; Mulligan, Joanne; Date-Huxtable, Liz; Ahlip, Rehez; Jones, D. Heath; May, E. Julian; Rylands, Leanne; Wright, Ian – ZDM: The International Journal on Mathematics Education, 2018
In this article we describe and evaluate processes utilized to develop an online learning module on mathematical modelling for pre-service teachers. The module development process involved a range of professionals working within the STEM disciplines including mathematics and science educators, mathematicians, scientists, in-service and pre-service…
Descriptors: Learning Modules, Online Courses, Mathematical Models, Mathematics Instruction
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