This paper, presented at a conference on pedagogy at Chichester, England, argues that overemphasis on expository verbal learning in teacher education is deleterious to student learning. Instead, teacher educators should develop conceptual learning and problem-solving abilities, drawing on educational psychology for an inquiry-oriented approach,…

Uses a discovery lesson for determining the area of an equilateral triangle given a side length as an illustration of how to introduce features of the TI-92 graphing calculator geometry package within a mathematical context. (KHR)

Examines the importance of learning environments as sites for change in science education, describing work with elementary teachers in which researchers are designing learning environments featuring guided inquiry. After explaining how to plan and enact guided inquiry instruction in science, the paper reflects on experiences implementing it in…

Abstract ideas in linear algebra are illustrated at different levels of difficulty through the investigation of the solution to a well-known puzzle. Matrices are used to model the puzzle and the concepts of rank, underdetermined systems, and consistency are employed in the solution to the problem. (MDH)

Argues that teachers should replace art history instruction with efforts to build in children a love for beautiful old objects. Suggests that children should be encouraged to examine family treasures and toys and share their discoveries. Describes several suitable classroom games, including tablesetting history, history to wear, and traditional…

Described is an activity that categorizes a two-digit number as "sneaky" if the continued process of taking the difference of the squares of its digits leads to a difference of zero. Other categorizations are determined by whether the difference process ends in a one-digit number or continues in a loop of numbers. (MDH)

Outlines a process-oriented approach to teaching movement and performance to young children. This approach applies a model, which stresses playing and problem solving and which focuses on the creative process rather than creation of a product, to the development of a method of teaching that encourages problem finding and problem solving. (MDM)

Presents a study to determine whether computer use in guided-discovery learning episodes would enhance the problem-solving ability of secondary school students (n=147). Results indicate interaction between low- and middle-level students' mathematical achievement and treatment groups, while high-level students performed well regardless of approach.…

Presents a general model for introducing preservice teachers to instructional technology; a key premise of this model is a view of technology as an evolving complex system. Reviews the properties of complex systems and introduces a method of instruction based on the concept of iterative exploratory practice. Discusses examples of student work in…

This article describes an activity in measurement and geometry in which sixth-grade students explore the volume and surface area of a donut. Through calculation, creative thinking, and discovery, the students enhanced their geometric vocabulary and reasoning. (Contains 9 figures.)

Discovery learning in mathematics in the domain of probability based on hands-on experiments is normally limited because of the difficulty in providing sufficient materials and data volume in terms of repetitions of the experiments. Our cooperative, computational modelling and simulation environment engages students and teachers in composing and…

Evidence for the superiority of guided instruction is explained in the context of our knowledge of human cognitive architecture, expert-novice differences, and cognitive load. Although unguided or minimally guided instructional approaches are very popular and intuitively appealing, the point is made that these approaches ignore both the structures…

This paper begins with a description of a set of difficulties in classes where students were given problems which asked them to explore and "make conjectures." After presenting background on debates about discovery learning, changing philosophical conceptualizations of the role of the empirical in mathematics, and innovations involving…

From the 1950s through the 1970s, children's play with blocks was seen as facilitating many developmental and educational outcomes, including art and creativity. In the 1980s there is less interest in the use of blocks to help children acquire art concepts and sensitivities as the pressure for back to the basics increases. This paper aims to…

The use of the inquiry approach in the teaching of elementary science is examined and advocated in this publication. The position that an inquiry approach is the best way to teach and learn science is upheld and its influence on the development of positive attitudes towards science is stressed. Section titles include: (1) "A Tale of Two Teachers"…