These collected papers are a record of the proceedings of the 33rd Annual Conference of the Mathematics Education Research Group of Australasia entitled, "Shaping the Future of Mathematics Education." The conference is held in Fremantle, as was the previous conference a decade earlier. Keynote speakers are discussing issues that are emerging more…

This paper provides information about Louisiana's Graduation Exit Examination, a comprehensive standards-based exam. The purpose of the exam is to: (1) Provide schools with student academic diagnostic information; (2) Determine prospective high school graduates' mastery of the state curriculum; (3) Encourage districts and schools to identify and…

This paper provides information about Idaho Standards Achievement Test, a comprehensive standards-based test. The purpose of the test is to: (1) Determine prospective high school graduates' mastery of the state curriculum, grade 10; (2) Encourage districts and schools to identify and serve students at risk of academic failure; (3) Provide data to…

This paper provides information about Indiana's Graduation Qualifying Examination, a comprehensive standards-based exam. The purpose of the exam is to: (1) Determine prospective high school graduates' knowledge and skill levels relative to those needed for entry-level employment; (2) Determine prospective high school graduates' mastery of the…

Children enter elementary school with widely different skill levels in core subjects. Whether because of differences in aptitude or in preparedness, these initial skill differences often translate into systematic disparities in achievement over time. How can teachers reduce these disparities? Three possibilities are to offer basic skills training,…

This guide for teachers is a companion piece to the meta-analysis from the Center on Instruction, "Mathematics Instruction for Students with Learning Disabilities or Difficulty Learning Mathematics: A Synthesis of the Intervention Research". Based on the findings of this report, seven effective instructional practices were identified for teaching…

The effects of using homework guides, and homework logs on students' abilities to solve word problems involving basic addition and subtraction facts were studied. Students received one of three versions of addition and subtraction timed tests once per week--every Thursday--that focused on measuring automaticity of basic addition and subtraction…

PEELS involves a nationally representative sample of children, 3 to 5 years of age when they entered the study, with diverse disabilities who are receiving preschool special education services in a variety of settings. Topics covered in the report include declassification (children leaving special education), reclassification (movement from one…

High schools may still be anchored to 20th century expectations, but what are the critical guideposts for a 21st century high school education? There are many specific skills and competencies that young people will need to succeed, but more than particular skills, they will need the cognitive capacity to educate themselves throughout their entire…

This study examined average-, high- and top-performing US fourth graders' rational number problem solving and their understanding of rational number representations. In phase one, all students completed a written test designed to tap their skills for multiplication, division and rational number word-problem solving. In phase two, a subset of…

According to the National Council of Teachers of Mathematics (NCTM) (1989, 2000), students at all levels should be exposed to geometry and measurement topics. Standards documents have identified the importance of primary school students selecting appropriate units for measurements in one- and two-dimensional space (NCTM 1989, 2000). This paper…

The concept of symmetry is fundamental to mathematics. Arguments and proofs based on symmetry are often aesthetically pleasing because they are subtle and succinct and non-standard. This article uses notions of symmetry to approach the solutions to a broad range of mathematical problems. It responds to Krutetskii's criteria for mathematical…

There is widespread agreement that effective teachers have unique knowledge of students' mathematical ideas and thinking. However, few scholars have focused on conceptualizing this domain, and even fewer have focused on measuring this knowledge. In this article, we describe an effort to conceptualize and develop measures of teachers' combined…

The present study focuses on math and related skills among 32 girls with fragile X (n = 14) or Turner (n = 18) syndrome during late elementary school. Performance in each syndrome group was assessed relative to Full Scale IQ-matched comparison groups of girls from the general population (n = 32 and n = 89 for fragile X syndrome and Turner…

To help eighth-grade students experience the excitement of Earth science research, the authors developed an inquiry-based project in which students evaluated and cataloged their campus geology and soils. Following class discussions of rock-weathering and soil-forming processes, students worked in groups to excavate multiple soil pits in the school…