In this article, we describe a case study that was conducted within a study aiming to diagnose grade 5 students' concept images of parallelograms. The theoretical framework that we adopted for this study was that of concept definition--concept image as reported by Tall and Vinner ("Educational Studies in Mathematics" 12:151-169, 1981), a…

Causal inference involves determining whether a treatment (e.g., an education program) causes a change in outcomes (e.g., academic achievement). It is well-known that causal effects are more challenging to estimate than associations. Over the past 50 years, the potential outcomes framework has become one of the most widely used approaches for…

Understanding of the equal sign is associated with early algebraic competence in the elementary grades and equation-solving success in middle school. Thus, it is important to find ways to build foundational understanding of the equal sign as a relational symbol. Past work promoted a conception of the equal sign as meaning "the same as".…

Historical significance is a historical thinking concept. Being able to identify historical significance is viewed as important for understanding change and continuity in the past, and for understanding the way 'history' is constructed by present society. This article discusses how Swedish students in Grade 5 (age 11 years) perceive and understand…

Creativity is often characterised by three components: fluency, flexibility, and originality. Specifically, in the mathematics classroom, in order to promote these aspects of creativity, educators recommend engaging students with multiple-solution tasks and open-ended tasks. In the past, various methods were used to measure fluency, flexibility…

Word knowledge acquisition is an incremental process that relies on exposure. As a result, word knowledge can broadly range from recognizing the word's lexical status, to knowing its meaning in context, and to knowing its meaning independent of context. The present study aimed to model incremental word knowledge in 1454 upper primary school…

We explored third- to fifth-grade children's friendship concepts in 20 autistic and 21 nonautistic students matched for mental age. Transcripts of semi-structured interviews were coded for definitions of friendship, friendship expectations, and friendship transgressions (i. e., violations of friendship expectations), and subjected to quantitative…

In conjunction with the Council of Chief State School Officers (CCSSO) and governors across the nation, the initial drafts of the Common Core State Standards (CCSS) were introduced in 2009 with the final draft being released in 2010. With a goal of eliminating stagnant academic progress, the Standards were written to outline precisely what…

In this research, it is aimed to explore how students are able to define parallelogram and to establish relations with other quadrilaterals at each class level comparatively. Case study is chosen as the methodology of this study and the participants of the study are 120 middle school students from a state middle school in Turkey. Two open-ended…

This study investigated how word and child characteristics affect children's ability to learn the meanings of novel words. Participants were fourth- and fifth-graders representing native English speakers (NE) and bilingual learners with fluent English proficiency (FEP) and designated English Learners (EL). Students were taught the meanings of a…

This report examines one component of the current school accountability system--learning gains. We find that learning gain percentages are affected by a variety of factors including starting achievement level, socioeconomic status, and English language learner status when the current definition of learning gains is used. Hence, we propose a new…

In 2013 Hedmark University College conducted a research project where students from a game development project/study program developed and tested a Pervasive Game for learning as part of a class in System Thinking. The overall game goal was to teach Sustainability through System Thinking, and to give the students a real world experience with their…

This study explores reader, word, and learning activity characteristics related to vocabulary learning for 202 fifth and sixth graders (N = 118 and 84, respectively) learning 16 words. Three measures of word knowledge were used: multiple-choice definition knowledge, self-report of meaning knowledge, and production of morphologically related words.…

Formative assessment is a classroom learning process that consists of clear goals and objectives, assessing students' knowledge, providing feedback and adjusting instruction based upon the data within a socially interactive process. Because of inconsistent implementation of the formative assessment process within classrooms, the efficacy of the…

Purpose: The current study investigated the ability of typically developing children in Grades 3 and 5 to use morphological analysis to determine the meanings of derived words with and without context clues. Also of interest was the relation between children's reading practices and their performance in determining the meanings of derived words.…