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Westaway, Lise; Graven, Mellony – Mathematics Education Research Journal, 2019

This article addresses the question: Why teachers of mathematics have yet to 'take up' progressive roles? Drawing on the philosophy of critical realism and its methodological equivalent, social realism, we analyse interview and observation data of four grade 3 teachers, with the view to identifying the mechanisms conditioning the expression of…

Descriptors: Teaching Methods, Grade 3, Elementary School Teachers, Resistance to Change

Vale, Colleen; Widjaja, Wanty; Doig, Brian; Groves, Susie – Mathematics Education Research Journal, 2019

Structured problem-solving lessons are used to explore mathematical concepts such as pattern and relationships in early algebra, and regularly used in Japanese Lesson Study research lessons. However, enactment of structured problem-solving lessons which involves detailed planning, anticipation of student solutions and orchestration of whole-class…

Descriptors: Mathematics Instruction, Teaching Methods, Problem Solving, Mathematical Concepts

Making Things Explicit Using Instructional Materials: A Case Study of a Singapore Teacher's Practice

Leong, Yew Hoong; Cheng, Lu Pien; Toh, Wei Yeng Karen; Kaur, Berinderjeet; Toh, Tin Lam – Mathematics Education Research Journal, 2019

The phrase 'make it explicit' is a common advice given to teachers. It is, however, not clear to us what this actually means when translated into classroom practice. Our review found that we are not alone: "explicit" is used in different ways in the education literature. This paper explores, through a case study of a teacher who stated…

Descriptors: Mathematics Instruction, Teaching Methods, Foreign Countries, Case Studies

Jacobson, Erik; Simpson, Amber – Mathematics Education Research Journal, 2019

Replication studies play a critical role in scientific accumulation of knowledge, yet replication studies in mathematics education are rare. In this study, the authors replicated Thanheiser's (Educational Studies in Mathematics 75:241-251, 2010) study of prospective elementary teachers' conceptions of multidigit number and examined the main claim…

Descriptors: Preservice Teachers, Elementary School Teachers, Knowledge Level, Number Concepts

Ölmez, Ibrahim Burak; Ölmez, Safiye Bahar – Mathematics Education Research Journal, 2019

The purpose of this study was to investigate the psychometric characteristics of the Math Anxiety Scale (MANX; Erol 1989, Unpublished master thesis, Bogazici University) with data collected from 952 middle school students in Turkey. The Rasch Rating Scale model was used to examine the MANX at the item level. The results revealed that although the…

Descriptors: Middle School Students, Mathematics Instruction, Foreign Countries, Difficulty Level

Hußmann, Stephan; Schacht, Florian; Schindler, Maike – Mathematics Education Research Journal, 2019

The purpose of this article is to show how the philosophical theory of inferentialism can be used to understand students' conceptual development in the field of mathematics. Based on the works of philosophers such as Robert Brandom, an epistemological theory in mathematics education is presented that offers the opportunity to trace students'…

Descriptors: Inferences, Epistemology, Mathematics Skills, Mathematical Logic

Ellis, Amy; Özgür, Zekiye; Reiten, Lindsay – Mathematics Education Research Journal, 2019

Teachers play a critical role in supporting students' mathematical engagement. There is evidence that meaningful student engagement occurs more often in student-centered classrooms, in which the teacher and the students mutually share mathematical authority. However, teacher-centered instruction continues to dominate classroom discourse, and…

Descriptors: Thinking Skills, Mathematics Instruction, Teaching Methods, Algebra

Jaremus, Felicia; Gore, Jennifer; Fray, Leanne; Prieto-Rodriguez, Elena – Mathematics Education Research Journal, 2019

With science, technology, engineering, and mathematics (STEM) heralded as pivotal to Australia's future prosperity, declining participation in Year 12 mathematics and science has attracted nationwide concern. While the national statistics certainly provide clear evidence of declining enrolments and the underrepresentation of females in STEM, we…

Descriptors: Foreign Countries, High School Seniors, Grade 12, Secondary School Mathematics

Safrudiannur; Rott, Benjamin – Mathematics Education Research Journal, 2019

The results of international comparative studies like PISA and TIMSS attract researchers to conduct studies comparing math contents of curricula directly to each other. Unlike those studies, we compared math contents of Indonesian and Singaporean curricula based on math contents tested in PISA 2012 items. We also enrich the comparison with the…

Descriptors: Foreign Countries, Achievement Tests, International Assessment, Secondary School Students

Sikora, Joanna; Pitt, David G. W. – Mathematics Education Research Journal, 2019

Students in many jurisdictions can study Mathematics at different levels in their final 2 years of secondary education. The levels of Mathematics range from standard (not involving calculus), through basic calculus, to more advanced treatments of calculus and algebra. In this context, some students can elect to study Mathematics at a level below…

Descriptors: Foreign Countries, High School Seniors, Grade 12, Advanced Courses

Bingolbali, Ferhan; Bingolbali, Erhan – Mathematics Education Research Journal, 2019

This paper explores how problem solving is approached in two 6th grade mathematics textbooks and national elementary mathematics curriculum in Turkey. The curriculum and textbooks' problem solving approaches are analysed and compared in the light of three approaches of 'teaching "for," "about" and "through" problem…

Descriptors: Mathematics Instruction, Problem Solving, Grade 6, Elementary School Mathematics

Murphy, Steve – Mathematics Education Research Journal, 2019

In many countries, there is pressure for schools to increase student engagement and skills in mathematics, in particular for disadvantaged students. This is certainly true in Australia. This study repurposes school level data to examine patterns of participation and achievement in senior secondary school mathematics in Victoria, Australia. It…

Descriptors: Socioeconomic Status, Student Participation, Academic Achievement, Learner Engagement

Livy, Sharyn; Herbert, Sandra; Vale, Colleen – Mathematics Education Research Journal, 2019

There is a consensus that we need to improve the quality of pre-service teacher education, and teachers' mathematical content knowledge is critical for teaching. Identifying opportunities and influences that assist pre-service teachers to extend their mathematical content knowledge throughout their teacher education programme is important. This…

Descriptors: Preservice Teachers, Elementary School Mathematics, Knowledge Base for Teaching, Preservice Teacher Education

Llinares, Salvador; Clemente, Francisco – Mathematics Education Research Journal, 2019

The study aimed at characterising the shift from configural reasoning to proof construction in geometry. One hundred eighty-two preservice primary teachers solved two geometry problems in which they had to generate a proof from the information provided by a geometrical configuration. Results indicated that proof construction was linked to the way…

Descriptors: Logical Thinking, Geometry, Mathematical Logic, Validity

Amador, Julie M.; Earnest, Darrell – Mathematics Education Research Journal, 2019

Translating a mathematics lesson from curriculum materials into instruction is not straightforward, and launching, or beginning, a lesson such that students will become productively engaged in the target mathematics is nontrivial. The purpose of the study was to investigate preservice teachers' curricular noticing as they draw upon curriculum…

Descriptors: Mathematics Instruction, Mathematics Curriculum, Preservice Teachers, Curriculum Design