In this paper, Harel and Sowder's proof schemes of taxonomy were applied for identifying eighth grade students' learning of proof and proofing. This study aimed to examine what kind of proof schemes are used in geometry and measurement learning areas and student's skills in giving proof and their opinions about proof. Qualitative methods were…

Measurement is an important concept in school mathematics (Clements, 2003). There are several studies and empirical evidence on students' thinking about geometrical measurement of length, area, and volume (e.g., Barrett et al., 2017; Battista, 2007, 2012; Eames, 2014; Lehrer, Jenkins, & Osana, 1998; Miller, 2013; Outhred & Mitchelmore,…

In this article, we examine eighth graders' incorrect responses to a specific task on a national standardized assessment of mathematics. The task asked students to write the formula for the perimeter of a given figure as a function of a variable. We focus on incorrect responses to better understand students' difficulties with the algebraic…

This study aims to examine the conceptual understanding of middle-school 8th graders on measurement based on big ideas. To this aim, a case study was carried out with six students from a state middle school. The data were collected through semi-structured interviews with the instrument developed by the researchers and consisting of seven…

The causal-comparative research study examined if academic achievement differs between African American 8th-grade students in schools where they constitute the majority versus the minority in Clarendon County, South Carolina. The research questions investigated 8th-grade African American students' academic performance in English Language Arts and…

The purpose of this study was to examine middle school students' proportional reasoning, solution strategies and difficulties in real life contexts in the domain of geometry and measurement. The underlying reasons of the difficulties were investigated as well. Mixed research design was adopted for the aims of the study by collecting data through…

Students in the United States whose household income is less than 130% of the poverty line qualify for free lunch, and students whose household income is between 130% and 185% of the poverty line qualify for reduced-price lunch. Education researchers and policymakers often use free and reduced-price lunch (FRPL) status to measure socioeconomic…

In this study with 153 middle school students, we investigate the influence of the number of decimal places from the reading of a measurement device on students' decisions to change or keep an initial hypothesis about falling objects. Participants were divided into three groups, introduced to two experiments--the time it takes a free falling…

This study examined the convergent and predictive validity of self-regulated learning (SRL) measures situated in mathematics. The sample included 100 eighth graders from a diverse, urban school district. Four measurement formats were examined including, 2 broad-based (i.e., self-report questionnaire and teacher ratings) and 2 task-specific…

In this study we investigated eighth grade students' informal justification for the circle area formula to expand accounts of the measurement knowledge for middle-school age students. Data were collected during three paired interviews of a three-year teaching experiment. Here we describe schemes students exhibited as they operated on measurement…

Research on morphological awareness has shown that it contributes to literacy outcomes. However, because of the way morphological awareness is traditionally measured, there is speculation that tasks may reflect cognitive flexibility, working memory, or some other type of executive processing, versus awareness of morphology. Further complicating…

The aim of the study was to examine the effect of a 4-week classroom physical activity break intervention on middle school students' health-related physical fitness. The study was a randomized controlled trial with students assigned to the experiment and control conditions. A convenience sample comprised 94 adolescents (experiment group n = 52;…

Considerable discrepancies between the mean and median often occur in data sets that are skewed left, skewed right, or have other unusual features. In such cases, it is important to analyze the data and context carefully to decide how best to describe centers of distributions. The importance of this type of statistical thinking is acknowledged in…

In this article, Christina Eubanks-Turner and Najat Hajj describe a planning process that they used to create a fun-filled eighth-grade math activity that focused on parade planning. The activity was designed to enhance and supplement the eighth-grade algebra curriculum on linear equations and functions, help students use mathematical habits of…

This study draws on self-determination theory to conceptualize a type of school climate that has consequences for the social, emotional, and cognitive well-being of students. We argue that a self-regulated climate emerges through a general pattern of interactions that students experience as supporting their psychological needs. For the empirical…