The present study examined the relations between ethnic context and attitudes about 9th grade math in youth from different ethnic groups who had recently transitioned to high school. The large sample comprised African American, Latino, White, and Asian youth (n = 2,265, 55% girls, M[subscript age] = 14.6 yrs.) A new questionnaire was developed…

This study reviews how slope is developed in expository materials across a seven-textbook series. Slope development is analyzed using a framework of five slope components to describe which components are used and connected, and by investigating accompanying levels of covariational reasoning. Findings suggest that the series describes slope from…

Current reform efforts challenge teachers to create more student-centered classrooms focused on high quality classroom discourse (NCTM, 2014). There are difficulties, however, teachers face in bringing this vision to fruition. Over the past three years, we have worked with a group of 7-12 teachers supporting their efforts to implement high quality…

Supporting students' in-the-moment perseverance is a vital objective in mathematics education because it promotes learning with understanding. Yet, little is written about if and how student perseverance can improve over time. I examine the specific ways in which secondary students improved their perseverance as they engaged with challenging…

We conducted an experimental study with 192 ninth graders in which we investigated a connection between performance and students' interest and enjoyment using task-unspecific and task-specific questionnaires. Students were randomly assigned to experimental group 1 or to experimental group 2. In group 1, they were asked about their affective…

The paper deals with the question of the practicability and the effectiveness of different approaches to foster students' mathematical modelling competencies. Within the modelling project ERMO (Acquirement of modelling competencies) a holistic and an atomistic approach of mathematical modelling were compared in order to find out which approach is…

This paper describes how a researcher developed task and four different data collection instruments provide evidence for the identification of various affordances of a technology-rich teaching and learning environment (TRTLE) that were perceived and/or enacted by Year 9 students in their solution of a linear function task utilising a graphing…

This study is a part of an ongoing research that attempts to explain the relationship between the teachers' instructional practices and students' learning in the context of functions. In this paper we report a case that shows significant differences between the achievements of two classes irrespective of the students' background training, the…

This paper presents the design and some results of a series of teaching experiments. The design was created to develop a model for everyday math lessons, that describes the conditions which foster or hinder the construction of new mathematical meanings. The development process includes the students' epistemic processes, their social interactions,…

Starting from a situated cognition perspective, this paper reports on the activity of 9th grade students who are interpreting the shape of a graph arising from the motion of a bouncing ball. In an unfamiliar context, informed by previous knowledge of similar experiments, the obstacle of understanding why the graph does not start from the origin is…

Findings from a survey administered to large numbers of grade 7-10 students are presented in this paper. The focus is on the students' attitudes towards the use of computers for the learning of mathematics. Background information was also gathered which allowed the students' responses to be analysed by a range of equity factors--gender, ethnicity,…

The strengths and weaknesses of using ethnographic research to investigate equity in a study of a grade 9 class that used a dynamic geometry program with laptop computers will be presented. It will be argued that research approaches that involve "windows on practice" provide understanding of not only who is advantaged and disadvantaged in…

Over a period of about 3 years, 3204 students in Grades 4 to 10 completed 9862 tests to identify and track their interpretation of decimal notation. Analysis of the longitudinal data demonstrates that different misconceptions persist among students to different degrees and in different patterns across the grades. Estimating the prevalence of…

To probe beyond declarative knowledge about real numbers in secondary school, the authors interviewed students in Grades 9, 10 and 12. The main question seems to be whether the length of a decimal expansion is "indefinite" or "infinite." It blurs the mental representation of rational numbers as well. (Contains 3 footnotes.) [For complete…