In this paper, we explore student solutions to a free response mathematical assessment task which had opportunities for students to notice structural properties in the context of number systems. In total, 308 students aged between 10 years to 13 years participated in the study. Their responses were analysed to determine whether they noticed…

Elementary school mathematics instruction aims to develop children's understanding of both numerical and spatial mathematics--two key areas of mathematical learning. The present study explored how learning within one of these areas may impact the other. Specifically, it investigated whether a measurement-to-number intervention designed to increase…

A web-based two-tier test (WTTT-NS) which combined the advantages of traditional written tests and interviews in assessing number sense was developed and applied to assess students' answers and reasons for the questions. In addition, students' major misconceptions can be detected. A total of 1,248 sixth graders in Taiwan were selected to…

This study aimed to find out the effect of learning model and form of assessment toward inferential statistical achievement after controlling numeric thinking skills. This study was quasi experimental study with 130 students as the sample. The data analysis used ANCOVA. After controlling numeric thinking skills, the result of this study show that:…

Background: Number sense is a key topic in mathematics education, and the identification of children's misconceptions about number is, therefore, important. Information about students' serious misconceptions can be quite significant for teachers, allowing them to change their teaching plans to help children overcome these misconceptions. In…

"Improving Mathematics in the Early Years and Key Stage 1" reviews the best available evidence to offer five recommendations for developing the maths skills of 3-7-year olds. Recommendations include integrating maths into different activities throughout the day -- for example, at registration and snack time -- to familiarise children…

Annual National Assessment (ANA) performance in Mathematics across the primary grades in South Africa indicates a decrease in mean performance across Grades 1-6. In this paper, we explore the apparently high performance in Grade 1 through a comparative investigation of learner responses on two assessments: the Grade 1 ANA taken in February 2011 by…

This paper reports selected findings from a study of number sense proficiency of students aged 13 to 16 years in a state in Malaysia. A total of 1756 students, from thirteen schools in a state in Malaysia participated in this study. A majority (74.9%) of these students obtained an A grade for their respective year-end school examinations. The…

This essay argues for the importance of quantitative reasoning skills as part of a liberal education and describes the successful introduction of a mathematics-based quantitative skills course at a small Canadian university. Today's students need quantitative problem-solving skills, to function as adults, professionals, consumers, and citizens in…

Here is the only reference book you will ever need for teaching primary school mathematics and statistics. It is full of exciting and engaging snapshots of excellent classroom practice relevant to "The New Zealand Curriculum" and national mathematics standards. There are many fascinating examples of investigative learning experiences,…

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)

The purpose of this instructional packet is to inform teachers and parents about children's development of numeracy in the early years of schooling. "I Can Do Maths" questions are in a child-friendly format and require children to write, draw, count, and measure. Two "ezi-guides" are provided to make administration easier. Keeping track of the…

This document is a collection of over 200 classroom-ready activities which cover the five strands--Number, Space, Measurement, Chance and Data, and Problem Solving--outlined in Mathematics: A Curriculum Profile for Australian Schools. Each activity is a separate photocopy master, the front for the students to use and the back an assessment page…

As one in a series of test item collections developed by the Assessment and Evaluation Unit of the Directorate of Studies, items of value from previous tests are made available to teachers for the construction of pretests or posttests, reference tests for inter-class comparisons and general assignments. The collection was reviewed for content…

Reports selected findings from a study of number-sense proficiency in students aged 8 to 14 years in Australia, Sweden, the United States, and Taiwan. Comments on the meaning and importance of number sense, the development of the assessment instruments, and student responses to the items. Discusses some implications for classrooms. Contains 39…