In the first part of the dialogue between theories, which gave rise to a paper in this journal, we discussed the role played by normativity in didactics. In this work, with the aim of taking a step forward in this dialogue, we state explicitly some of the postulates of the anthropological theory of the didactic. They shape the object of study, the…

This case study describes a Q methodology study which captured and analyzed the viewpoints of 45 UK teachers online. The teachers might liken their participation in the study to a "card sort" activity: their relative placement of statement cards revealed their opinions of mastery in mathematics. Factor analysis of the completed sorts…

New Artificial Intelligence methods hold the potential to transform qualitative research in mathematics education. This study introduces and uses the machine learning technology of simple neural networks to automatically analyse transcript data. This serves as the basis to reflect on the use of machine learning technology in order to uncover some…

This paper describes two researchers engagement with two teachers as they taught a middle grades mathematics course, Current Events Math, in a large urban school district. The researchers share bits of data and their ethical entanglements as they entered into the site to find the truth about what works in middle grades mathematics classrooms only…

This commentary articulates the need to investigate problems of mathematics instruction at community colleges. The authors briefly describe some features of this often-ignored institution and the current status of research. They also make an argument for how investigations of instruction in this setting can both advance understanding of this…

Selection bias is a problem for mathematics education researchers interested in using observational rather than experimental data to make causal inferences about the effects of different instructional methods in mathematics on student outcomes. Propensity score methods represent 1 approach to dealing with such selection bias. This article…

The study evaluates a semester-long workbook curriculum approach to teaching a college level introductory statistics course. The workbook curriculum required students to read content before and during class and then work in groups to complete problems and answer conceptual questions pertaining to the material they read. Instructors spent class…

An effect size of about 0.70 (or 0.40-0.70) is often claimed for the efficacy of formative assessment, but is not supported by the existing research base. More than 300 studies that appeared to address the efficacy of formative assessment in grades K-12 were reviewed. Many of the studies had severely flawed research designs yielding…

The use of educational technology in K-12 classrooms has been gaining tremendous momentum across the country since the 1990s. Many school districts have been investing heavily in various types of technology, such as computers, mobile devices, internet access, and interactive whiteboards. Almost all public schools have access to the internet and…

Studies by the National Association for Educational Progress found that English Language Learner (ELL) students perform poorly compared to other students on standardized mathematics exams. The research problem addressed how Sheltered Instruction Observation Protocol (SIOP) affected the instructional practices of high school mathematics teachers.…

This study dealt with the construction of an observation instrument for instructional cues. Cues are defined as a complex of instructions, methods, and conditions by which students both learn the material and learn to apply the material. As part of the "Classroom Environment Study: Teaching for Learning," the pilot study began a review of the…

This document contains 53 plenary and contributed papers presented at the eighth Psychology of Mathematics Education (PME) meeting. Two plenary addresses focused on mathematics research in Australia and Japan, and problem solving and symbolism. Contributed papers were classified under 13 headings including: teaching and learning theory; cognition;…

This volume represents an effort to develop a definitive reference work on research in mathematics education. The reference is divided into two parts. Part 1, on the research process, focuses on problems of research methods and their relevance to research in mathematics education. Part 1 also introduces the beginner to some of the issues and…

This document contains plenary and contributed papers presented at the seventh PME meeting, held near Jerusalem, Israel in July 1983. Three plenary papers focused on implicit models in solving problems, discussions with teachers and children, and heuristics. Contributed papers were classified under seven headings: learning theories…

Teaching in general and teaching of mathematics in particular are matters of great importance for contemporary society. Over the years, societies have established institutions in order to incorporate mathematics and science into the culture of society with the clear intention of encouraging a scientific vision of the world among the population.…