This paper frames children's mathematics as mathematics. Specifically, it draws upon our knowledge of children's mathematics and applies it to understanding the prime number theorem. Elementary school arithmetic emphasizes two principal operations: addition and multiplication. Through their units coordination activity, children construct two…

Student Profile Pancasila is a character that characterizes Indonesian students. For this reason, the character values of Pancasila students should be instilled in schools from an early age. The purpose of this study was to construct a Pancasila student character instrument for elementary school students. This study uses a quantitative approach…

This study aimed to examine the validity and reliability evidence of Teacher Self-efficacy (TSE) scale (Tschannen-Moran & Hoy, 2001) for teacher in K-12 US schools. Particularly, our study gathered evidence for the internal structure validity, convergent validity, criterion validity and reliability of the TSES in US educational context. The…

Mathematics education needs measures that can be used to research and/or evaluate the impact of professional development for constructs that are broadly relevant to the field. To address this need we developed the Priorities for Mathematics Instruction (PMI) survey consisting of two scales focused on the constructs of Explicit Attention to…

Spatial analytics receive increased attention in educational data mining. A critical issue in stop detection (i.e., the automatic extraction of timestamped and located stops in the movement of individuals) is a lack of validation of stop accuracy to represent phenomena of interest. Next to a radius that an actor does not exceed for a certain…

Curriculum adaptation portrays the way teachers 'tweak' the curriculum. The findings of related studies are based solely on qualitative data, and there is no instrument that can determine curriculum adaptation patterns. Based on this gap, the aim of this study is to develop the Curriculum Adaptation Patterns Scale (CAPS). After examining the…

We report on and validate a system for ranking the cognitive demand of mathematical tasks. In our framework, task rankings are determined by the sequences of units and unit transformations students might use to solve each task. Using this framework, we ranked a set of 10 fractions tasks. We then interviewed 12 pre-service teachers to assess the…

The aim of the study is to develop a "Self-Efficacy Scale for Argumentation" (SEAS). The participants of the study consisted of 879 pre-service elementary teachers. In order to examine construct validity of SEAS, exploratory factor analysis (EFA) and confirmatory factor analysis (CFA) were utilized. The initial solution of the EFA…

This research aimed to develop a valid and reliable test to be used to detect sixth grade students' misconceptions and errors regarding the subject of fractions. A misconception diagnostic test has been developed that includes the concept of fractions, different representations of fractions, ordering and comparing fractions, equivalence of…

Mathematics self-efficacy is considered an important variable in mathematics education because of its links to mathematics achievement. This paper reports on the development of the "Self-efficacy-effort in Mathematics Scale" (SEEMS), an instrument that has strong theoretical and psychometric properties. Based on a sample of n = 224…

This study presents an extension of the validity argument for the PCK-Fractions measure. PCK-Fractions is designed to assess the effectiveness of professional experiences in facilitating teachers' pedagogical content knowledge (PCK) for children's fraction reasoning in grades 3-5. We examined data across 101 participants from two Midwest…

Test developers are continually exploring the possibilities Computer Based Assessment (CBA) offers the Mathematics domain. This paper describes the trial of the Place Value Assessment Tool (PVAT) and its online equivalent, the PVAT-O. Both tests were administered using a counterbalanced research design to 253 Year 3-6 students across nine classes…

Supporting teachers to facilitate discussions with argumentation is as complex as the practice of facilitating argumentation itself. In this paper, we describe how a community of teachers and one teacher within this community made sense of facilitating argumentation. We use the construct of problems of practice as an indicator of teachers'…

This paper presents evidence confirming the validity of the RD design in the Reading Recovery study by examining the ability of the RD design to replicate the 1st grade results observed in the original i3 RCT focused on short-term impacts. Over 1,800 schools participated in the RD study over all four cohort years. The RD design used cutoff-based…

Purposes: This study uses think-alouds and cognitive interviews to provide validity evidence for an online formative assessment--i-Ready Standards Mastery (iSM) mini-assessments--which involves a heavy use of innovative items. iSM mini-assessments are intended to help teachers determine student understanding of each of the on-grade-level Common…