The potential of tasks to foster mathematical learning and understanding is an important aspect of instruction and their implementation in teaching is thus often viewed to be positively related to the quality of instruction. Both the selection of tasks as well as their implementation in the classroom depend on many factors, with teachers'…

In this study, the authors investigate the ways in which young students demonstrate their critical mathematical thinking (CMT). Students aged 5-6 who are beginning their first formal year of education participated in the study. Data is presented from individual clinical interviews undertaken with 16 students. These interviews were analysed using…

Foundation and Year 1/2 teachers at Saint Martin de Porres Primary School, a Catholic School in Laverton, Melbourne have been collaborating with a team of researchers from Monash University on a four-year project led by Professor Peter Sullivan and colleagues. The teachers have been trialling and implementing a series of lesson sequences as part…

Students experience a variety of challenges as they move from one level in school to the next. In this session, we consider and discuss two central questions related to students' progressions through their mathematical experience, particularly at transitions roughly characterized as elementary to middle school, middle school to high school, and…

Discusses some results of the CSMS test which provides information for teachers on students' levels of understanding in secondary school mathematics, including comparison with a Piagetian task, identification of misconceptions, and description of naive strategies. (MKR)

Author contends that an unsubtle use of behavioral objectives tends to impede the process of considering a child's natural cognitive development by focusing attention on someone else's task analysis and not on the development of the child's ideas. (Author)

Discussed is a report of a British government advisory group concerning programs of study in mathematics education, as related to students with special education needs. Described are the progression of levels, the spread of levels normal for particular age groups, and the notion of age determining the work of students. (JDD)

Children who come to school without numerical game-playing experience have trouble with math relationships in direct-instruction situations. This article explores the varied roles of active thinking, social interaction, previous knowledge, and child-initiated choice in children's development of math concepts. Self-esteem cannot be built by doing…

This study investigated young children's ability to solve probability problems and studied the cognitive processes proposed by Piaget and Inhelder as necessary to solve probability problems. The effects of tutorial and self-discovery training were measured and discussed. Results from 168 first-graders in five training conditions indicated that:…

Presents three features of "Good" questions: requires students to do more than simply remember a strategy to answer; promotes student learning while answering the question; and have several acceptable answers. Considers how questions can be used to cater to the range of student abilities. (MDH)

The four issues contain articles on the diagnosis and treatment of learning disabilities (LDs). Article titles and authors include: "Learning Disability Specialist Looks at Foreign Language Instruction" (Elissa Fisher); "Physician Questions Reliability of Central Auditory Processing Tests in Diagnosing LD" (Daniel Schwartz); "Educator Urges…

To test whether gains in cognitive development can be accelerated, an intervention model was used to give pupils special lessons in science, using ideas of cognitive conflict, metacognition, and bridging in the context of formal operations. Found that intervention led to substantial and long-lasting increased achievement in science, mathematics,…

A holistic approach to early childhood education requires attention not only to what we know about child development and its implications for teaching, but also to the content of the curriculum. This collection of chapters on research and practice on developmentally appropriate integrated curricula is combined in a manner to assist theorists,…