In this paper we examine the application of Tzur's (2007) fine-grained assessment to the design of an assessment measure of a particular multiplicative scheme so that non-interview, good enough data can be obtained (on a large scale) to infer into elementary students' reasoning. We outline three design principles that surfaced through our recent…

This article shows how to modify classroom evaluation items to avoid four potential difficulties that limit a teacher's insight into students' mathematical understanding by addressing these issues: (1) poor choice of numbers; (2) implausible or inappropriate contexts; (3) inclusion of graphics that do not help make learning visible; and…

In this article Jessica Hunt explores the use of clinical interviews to gain a deep understanding of students' knowledge. Examples of clinical interviews are provided and advice for planning, giving and interpreting the results of interviews is also included.

This third edition of the best-selling "Mathematics in Nursery Education" provides an accessible introduction to the teaching of mathematics in the early years. Covering all areas of mathematics learning--number and counting, calculation, pattern, shape, measures and data handling--it summarises the research findings and underlying key concepts…

This compendium organizes information on the math and science projects sponsored by NCER and NCSER into two main sections: Mathematics and Science. Within each section, projects are sorted into chapters based on content area, grade level, and intended outcome. In determining the chapters, we considered the emerging college- and career-readiness…

How do composing and decomposing numbers connect with the properties of addition? Focus on the ideas that you need to thoroughly understand in order to teach with confidence. The mathematical content of this book focuses on essential knowledge for teachers about numbers and number systems. It is organized around one big idea and supported by…

Describes the "Count Me In Too" project in New South Wales and provides some insight into the way children were assessed. Introduces the "Learning Framework in Number," a research-based framework for assessing and teaching early number concepts. (Contains 12 references.) (ASK)

"Focus in Grade 1: Teaching with Curriculum Focal Points" describes and illustrates learning paths for the mathematical concepts and skills of each grade 1 Focal Point as presented in Curriculum Focal Points for Prekindergarten through Grade 8 Mathematics. It includes representational supports for teaching and learning that can facilitate…

A teacher of deaf fifth graders recounts the use of math logs to help students to write about their math experiences and thus generate, comprehend, and express mathematical ideas and knowledge. The process also helped the teacher pinpoint math problem areas and assess and monitor students' understanding of math concepts. (DB)

The 1997 Utah Legislature mandated the development and administration of assessment of students' early reading and numeric skills so that these students' instructional needs might be better met. This document provides answers to several questions regarding Utah's pre-kindergarten and end-of-level kindergarten assessments. The questions include the…

The secondary technical schools of the United States, because of their heterogeneity, present peculiar difficulties to an investigation along the lines laid down by the International Commission. While such schools have existed for many years, it is particularly within the last decade that a great increase in their numbers has taken place, for it…

A major advance in the field of reading over the past 15 years has been the development and validation of screening measures that can detect with reasonable accuracy those kindergartners and first graders likely to experience difficulty in learning to read. Increasingly, these students now receive additional instructional support during the…

The Assessment Tool for Moderately Retarded Students in Academic Skills (1978) is designed for moderately retarded students (5-21 years) and mildly retarded students (3-14 years) who will be living in sheltered home and work settings. The assessment tool is based on a life centered curricular model concerned with developing--in a sequential…

The purpose of the Chapter 1 Early Childhood Education Program in Portland Public Schools is to provide disadvantaged children the experiences needed to ameliorate the disadvantages resulting from their circumstances. This evaluation report of the 1989-90 school year concludes the program's 18th year of operation. The preschool program consisted…

As recent research efforts have focused on preventing reading difficulties and enhancing the effectiveness of special education services for students with reading problems, similar efforts in mathematics have not been realized. This article describes the development and preliminary field testing of a set of measures designed to screen students in…