Helping teachers envision how math standards can be integrated into the secondary classroom, this book presents engaging activities and ready-to-use lessons aligned with NCTM content and process standards. This user-friendly book by mathematics educator Timothy J. McNamara is filled with a generous collection of lessons for each of the ten NCTM…

This study investigates middle school mathematics students' views and interpretations of graphical representations as they use graphs to answer algebraic questions--specifically, questions that require them to extrapolate information from graphs. From data gathered in videotaped interviews, students' verbal responses were analyzed as well as any…

The development of an assessment tool to measure the quality of instruction is necessary to provide an informative accountability system in education. Such a tool should be capable of characterizing the quality of teaching and learning that occurs in actual classrooms, schools, or districts. The purpose of this paper is to describe the development…

This book explores the factors that influence young people's learning of mathematics. It uses a holistic, socio-culturally informed approach to show how all young people can be encouraged to engage with and learn mathematics. Rich examples from classroom practice are used to connect theory and practice. The role of mathematical tools, including…

This paper examines the learning needs of 35 Grade 1 children and 60 Grade 2 children who were identified as vulnerable in their number learning on the basis of a clinical interview and reference to a set of research-based growth points. All children were selected for an intervention program that aimed to accelerate learning in four number…

This study is about student teachers using questioning to explore the mathematical reasoning of secondary school students aged between 11 and 14 years of age. The student teachers involved were first year students following a four years' initial teaching training course in Malta. The Teaching Triad developed by Barbara Jarowski was used to analyze…

This paper reports on teachers? practical knowledge [PK] about peer interactions [PI] in learning mathematics. The focus is on high school teachers who consistently engaged students PI in their teaching. Data consisted of interviews and classroom observations. Findings indicate that these teachers have PK of students? roles in PI and learning…

In this lesson, students identify the question-answer relationship (QAR) for word problems that relate to a graphic or table. They then use the QAR strategy to determine the mathematical and cognitive actions required to answer the word problem. This activity is particularly appropriate for fourth- and fifth-grade students. During two 40-minute…

This book provides state-of-the-art teaching practices and methods, discussing the elements of good teaching in the content areas and including examples from real classrooms and library media centers. Chapters offer reflection exercises, assessment tips specific to each curriculum, and resource lists. Nine chapters examine: (1) "The Premise"…

This paper examines how Ciulistet, a group of Yup'ik Eskimo elders, teachers, aides, and university collaborators, has slowly begun transforming education in southwest Alaska. Specifically, this paper shows how this indigenous group has produced, interpreted, and applied ancient Yup'ik wisdom to the modern context of schooling. Formally…

In 2002, the Michigan State Board of Education asked the Department of Education to develop grade-by-grade "content expectations" in reading/English language arts and mathematics to provide guidance to local educators and parents and serve as the basis for annual assessments required by the federal No Child Left Behind Act (NCLB) of…

We studied experts' solving methods and analyzed the nature of mathematical knowledge as well as their efficiency in algebraic calculations. We constructed a model of the experts cognitive functioning (notably teachers) in which the observed automatisms were modeled in terms of schemes and instruments. Mathematical justification of transformation…

The paper brings the results of research into affective barriers lying at the base of negative attitudes of mathematics and language teachers towards new educational trends, i.e. the teaching of mathematics in the English language in monolingual Czech secondary school classrooms. To find blocks to the use of new approaches the method of unfinished…

Recent research explaining the influence of teacher knowledge and beliefs on instruction tends to illustrate what teachers cannot do by describing their limited beliefs about mathematics or gaps in mathematics knowledge. Those studies illustrating what teachers can do tend to focus on one teacher. This paper describes what nine secondary level…

This research examines students' ability to work with algebraic variables and their notations as a result of the type of instruction they received, and places their work on scales that illustrate its location on the continuum from arithmetic thinking to algebraic reasoning. It presents data from pre- and post-instruction clinical interviews…