The story of John Henry provided the setting for sixth-grade class to participate in a John Henry Day of mathematics experiments. The students collected data from experiments where students competed against machines and technology. The student analyzed the data by comparing two box plots, a box plot of human data, and a box plot of machine or…

The article describes a unit for seventh-grade students, using children's literature to teach visual, auditory, and algebraic patterns. (Contains 7 figures.)

This article explores how students learned to measure tall objects using a clinometer and some basic calculations. Such activities provide opportunities for students and teachers to learn the usefulness of linking mathematics content and science content to real-world problem-solving situations. (Contains 7 figures.)

This article elaborates on the basics of problem-based learning units and tips for implementation. The problem-based learning unit described focuses on the course of action involved in purchasing a new car. (Contains 2 figures.)

Two hundred and thirty-one students in six Grade 9 classes in two government secondary schools located near Chiang Mai, Thailand, attempted to solve the same 18 quadratic equations before and after participating in 11 lessons on quadratic equations. Data from the students' written responses to the equations, together with data in the form of…

Imagine being able to engage students in learning statistics. Teachers would need their students to have access to a large database of real data, preferably about students. It would be even better if students were part of the database. Ideally, the data would enable students to ask questions of interest to them. For a teacher, it would be…

Technology in secondary schools has become of increasing interest as the power of the micro chip has developed. For the students of Mathematics, computers and hand held graphic calculators need to be accessible to all. They are relevant to the needs of the students' courses and to support and develop their Mathematical learning (Smith, 1997).…

The quality of knowledge underlying students' algebraic thinking is a major concern of K-12 mathematics teaching and reform-driven curriculum documents. In this paper the author examines this issue by characterizing a group of high school students' algebraic knowledge and patterns of use of that knowledge during the solution of selected problems.…

The study describes students' patterns of thinking for statistical problems set in two different contexts. Fifteen students representing a wide range of experiences with high school mathematics participated in problem-solving clinical interview sessions. At one point during the interviews, each solved a problem that involved determining the…

During individual interviews, secondary school mathematics teachers were asked to plan teaching an unfamiliar and challenging mathematics problem. Each teacher watched a special video-clip showing a pair of pupils successfully coping with the task. Teachers' planning was analyzed at three stages: before they solved the problem, after solving it,…

Given the current trend of teaching all students, including those with disabilities and English Language Learners, in inclusive general education settings, it is important to find instructional approaches that adequately address the diverse needs of today's students. This is particularly challenging when it comes to mathematics instruction due to…

We analyse social interactions during the first days of class in a secondary mathematics classroom (15 and 16-year-olds) with a high percentage of immigrant students. Our analyses show the co-existence of different models for both the interpretation and the use of classroom social norms and socio-mathematical norms. Valorising some behaviours over…

This paper evaluates the effectiveness of a student controlled computer program for high school mathematics based on instruction principles derived from Schoenfeld's theory of problem solving. The computer program allows students to choose problems and to make use of hints during different episodes of solving problems. Crucial episodes are:…

The current exploratory study investigated the effects of a Direct Instruction program implemented with middle school students identified as at-risk for failure in mathematics. Direct Instruction has typically been implemented with students with disabilities in separate special education settings. However, this study examined the extent to which…

Three mathematics teachers and 10 of their ninth grade students were observed and interviewed during a 6-week period. One teacher claimed that her main challenge--implementing a student-centered curriculum--was her doubt that students would make the right connections without her explanations. Another teacher struggled with the dynamics of…