The purpose of this study is to explore the children's understanding of moon phase changes. Study methods include qualitative and quantitative methods. The subjects of the study are 683 students from grade three to six in an elementary school in New Taipei City. This study uses the method of writing assessment to explore the ideas of elementary…

Purpose: In 2017 and 2018, engineering applications and design process were given weight to with the updates carried out in the Physical Sciences Lesson Curriculum in Turkey. For the STEM education which is at the center of this update to reach its target, it is highly important that students accurately learn what engineers do, what their work…

In this study, how fourth- to sixth-grade children perform measurement estimation was investigated. The data were collected by a measurement estimation task that contained linear and area estimations and interviews from 72 children, each in one fourth- (n = 21), fifth- (n = 32), or sixth-grade (n = 19) class at local public elementary schools in…

The present study is an ongoing survey targeting Japanese fifth and ninth grade elementary and junior high school students respectively using the framework of "The Third Wave" international comparative study. The purpose of this research report is to describe the questionnaire survey's results and analyze some similarities and…

Collaborative and individual learning are both frequently used in classrooms to support learning. However, little research has investigated the benefits of combining individual and collaborative learning, as compared to learning only individually or only collaboratively. With our study, we address this research gap. We compared a combined…

Both additive and proportional reasoning are types of quantitative analogical (QA) reasoning. We investigated the development and nature of primary school children's QA reasoning by offering two missing-value word problems to 3rd to 6th graders. In one problem, ratios between given numbers were integer, in the other ratios were non-integer. These…

This research study aims to examine secondary school students' mathematical problem-solving attitudes in terms of certain variables. The study was carried out to determine whether the students' mathematical problem-solving attitudes differ or not in terms of the variables of gender, grade, attending nursery school, parents' education level and…

A series of 13 survey questions based on a 50-50 spinner is used to explore school students' understanding of statistical variation in a chance setting. Five questions set the context by assessing understanding of theoretical expectation and representation of repeated trials in a stacked dot (line) plot. Four questions provide opportunity to…

Based on a survey of 3067 Finnish 5th and 7th graders and a task-based interview of 20 7th graders we examine student's understanding of fraction. Two tasks frame a specific fraction (3/4) in different contexts: as part of an eight-piece bar (area context) and as a location on a number line. The results suggest that students' understanding of…

In this research work we explored the nature of 9-12 year old pupils' responses to probabilistic problems with tree diagrams. It was found that a large percentage of pupils failed to respond correctly even to very simple problems that demanded the identification of "possible routes/paths" in figures with tree diagrams/mazes. The results…

This paper presents some preliminary results of the longitudinal aspect of a research project on self-confidence and understanding in mathematics. We have collected a survey data of 3057 fifth-graders and seventh-graders and a follow-up data of ten classes (191 pupils) one and a half years later. The longitudinal data indicates that the learning…

In this paper we will concentrate on pupils' self-confidence in mathematics, which belongs to pupils' mathematical beliefs in themselves, and beliefs on achievement in mathematics. Research described consists of a survey of more than 3000 fifth-graders and seventh-graders. Furthermore, 40 pupils participated in a qualitative follow-up study…

Background: The Hawaii Department of Education (HDOE) launched its Hawaii State Assessment (HSA) in spring, 2002, within the context of the No Child Left Behind Act (NCLB) Act of 2001 and its mandates to close the "achievement gaps" between subgroups of students. Thus, it is important to investigate the extent to which student…

Over a period of about 3 years, 3204 students in Grades 4 to 10 completed 9862 tests to identify and track their interpretation of decimal notation. Analysis of the longitudinal data demonstrates that different misconceptions persist among students to different degrees and in different patterns across the grades. Estimating the prevalence of…