The evolution of U.S. secondary school mathematics requirements throughout the 20th century included a significant shift towards more rigorous standards by the end of the century. Initially, many states required minimal or no mathematics for high school graduation. However, reforms led most states to adopt a 3-year mathematics requirement, with…

The purpose of the study was to determine the association between van Hiele geometric thinking levels and circular achievement exam results for middle school students in 7th grade. The design of the study was a survey method. 157 middle school students were participated into study from three different schools in Kayseri in the spring semester of…

This paper introduces the LIDO, or the Low-Inference Discourse Observation tool, that captures discourse moves produced by students and teachers in whole-classroom discussions. Coding methods are described, followed by analyses that explore validity of the LIDO through correlations among LIDO-coded discourse moves and between LIDO scores and…

To improve understanding of identities and inverses, and to provide a stronger foundation for future mathematics, Sandra Miles designed a two-part lesson that makes the relationship between identities and inverses explicit. This article illustrates Miles' teaching of the first part of the lesson, focused on addition and subtraction, and then gives…

While personal performance-approach goals (PAp goals) have already been successfully bifurcated into normative and appearance PAp goals, the same distinction has not yet been applied to performance-approach goal structures (PAp goal structures). The present study therefore aimed to (a) test the factorial two-level structure of PAp goal structures…

This article elaborates a new direction for studying the construction of novel strategies that enables researchers to model the conceptual underpinnings of students' observable strategic actions during episodes of mathematical problem solving. The nature of the relationship between conceptual and procedural knowledge has been persistently debated…

Number line models provide a visual aid for students to examine the relationship of integers with each other and facilitate learning of integers and integer operations. Such models are typically used when students are asked real-life problems. This study employs a qualitative case study design to perform an in-depth analysis of how middle grade…

This study aimed to determine the relationship between routine/non-routine problem-solving achievements and self-regulation skills of seventh-grade students who are educated in Turkey. For this purpose, in the 2016-2017 academic year, 133 seventh-grade students who were randomly selected in Denizli and Bursa provinces were studied. In the scope of…

Improving children's "number sense" has been a core component of recent mathematics curricular and instructional reforms (CCSS, 2010; NCTM, 2000, 2014) in the United States. Students with mature number sense make sense of numbers and operations, use reasoning to notice patterns, and flexibly select the most effective and efficient…

Background: Spatial skills and mathematical ability have been repeatedly identified as critical for achievement in Science, Technology, Engineering, and Mathematics (STEM). Previous studies have identified correlations between spatial skills and mathematical achievement; however, questions remain regarding improvements in non-spatial areas…

This study examined the relationship between students' (N = 229) concepts of size and scale and students' achievement in science and mathematics over a 3-year period. Size and scale are considered one of the big ideas in science that permeates disparate science and mathematics content areas, yet little is known about the relationship between…

Grading is one of teachers' greatest challenges and most important professional responsibilities. Educators are unclear on whether standards-based grades or traditional-based grades do a better job of accurately reflecting what students have learned, so the purpose of this study was to understand the relationship between classroom grades and…

In this study, it was aimed to examine the relation between seventh-grade students' quadrilaterals achievement levels and Van Hiele geometric thinking levels. Survey method was used. The sample of the study was 160 students from the three different districts of Kayseri, as Melikgazi, Incesu, and Tomarza. Van Hiele geometric thinking test and…

The purpose of this non-experimental, cross-sectional, correlational study was to examine the influence, if any, of mathematical-instructional minutes on academic achievement as measured by the 2014 New Jersey Assessment of Skills and Knowledge (NJ ASK) 6, 7, and 8 mathematics scores. Additionally, the study accounted for other factors that…

Metacognitive monitoring in educational contexts is typically measured by calibration indicators, which are based on the correspondence between cognitive performance and metacognitive confidence judgment. Despite this common rationale, a variety of alternative methods are used in the field of monitoring research to assess performance and judgment…