Within the "Australian Curriculum: Mathematics" the Understanding proficiency strand states, "Students build understanding when they connect related ideas, when they represent concepts in different ways, when they identify commonalities and differences between aspects of content, when they describe their thinking mathematically and…

Often students' inquiry can be a great teachable moment as well as a "researchable moment." Today, even though much has been written about culturally responsive teaching, the author is often surprised to find that the notion of culturally responsive teaching does not resonate with urban teachers and when it does, they do not know how to teach…

With regard to transfer, is it better to provide pupils with ready-made representations or is it more effective to scaffold pupils' thinking in the process of generating their own representations with the help of peers and under the guidance of a teacher in a process of guided co-construction? The sample comprises 10 classes and 239 Grade 5…

Describes an NCTM Standards-based high school mathematics curriculum that involves application, technology, cooperative learning, and open-ended problem solving and compares student attitudes and achievement with a traditional class. Results indicate significant attitude improvement in the mathematical confidence of students in the experimental…

There are selected philosophies in the teaching of mathematics which can provide guidance to the teacher in developing the curriculum and also a framework for teaching and learning. This paper discusses four such philosophies of teaching mathematics: Idealism, Realism, Experimentalism, and Existentialism. Idealism stresses that students live in an…

Describes the Interactive Mathematics Program (IMP), a four-year curriculum that teaches algebra, geometry, and trigonometry together in a problem-solving process emphasizing logical analysis, inference, and deduction. Because the program presents mathematics in real-world contexts, teachers need time for consultation and planning. (LMI)

Argues that educators must move away from a computation-dominated curriculum to a curriculum that stresses problem solving and understanding. States that small group instruction is appropriate for this type of curriculum. (PCB)

This paper suggests that the mathematics teacher needs to do much reading and studying of important trends in improving the mathematics curriculum. Recommendations are made for what teachers need to look for in research studies in mathematics in order to help them recognize what would make for a quality study. Collaborative and individualized…

Discusses the problems American students have learning math. Describes the new learning in mathematics that synthesizes new content and methods that restructure the curriculum in a way that resolves design and quality control problems. Presents examples of effective programs. (JS)

Presents one model for a liberal arts mathematics course that combines probability and calculus. Describes activities utilized in the course to heighten students' interest and encourage student involvement. Activities include use of visualization, take-home tests, group problem solving, research papers, and computer usage with DERIVE computer…

Describes the mechanics of group work in the college mathematics classroom specifically group formation, preliminary class work, class and group discourse, individual and group assignments, and impact on test taking. Includes examples from a first-semester calculus course. (JJK)

Presents activities which highlight major concepts of linear programming. Demonstrates how technology allows students to solve linear programming problems using exploration prior to learning algorithmic methods. (DDR)

"Options". "Opinions". "Challenges". These are the key words used by a group of gifted 3rd- and 4th-grade students when asked what they want out of math. Although not surprised by the desire for challenges, most of the author's colleagues are intrigued by the students' wishes for options and opinions in math. After…

Describes the use of the Internet to investigate mathematical problems, create and share information, discover patterns and relationships, and find out more about the world. This unit investigates pet ownership and introduces children to telecommunications, the use of the computer as a tool, and scientific research methods. Other units address…

Describes a mathematical investigation of gold--how it is weighed, stored, used, and valued. For grades 3-4, children estimate the value of treasure chests filled with gold coins and explore the size and weight of gold bars. Children in grades 5-6 explore how gold is mined and used, and how the value of gold changes over time. (PVD)