The Intermediate Value Theorem (IVT) is not often proved in Calculus I classes because many teachers and students see the theorem as obvious and its proof as impenetrable. This article addresses those two misconceptions, showing "how" the IVT can be proved in Calc I... and "why" it "should" be.

In this article, I present a reexamination of the myth of inherent creativity in early childhood to elucidate how still-dominant discourses of optimization such as child development, individualism, expression, creativity, and visual realism exert limiting pressures on understandings of the art and visual culture that children consume and create.…

Peer victimization--or what's known as harassment or bullying--is not a new problem in American schools, though it appears to have taken on more epic proportions in recent years. The research about peer victimization has increased dramatically in the past 10 years, but there are still many myths about bullying. This article discusses six myths…

Mingroni proposed that heterosis or hybrid vigor may be the principal driver of the Flynn effect--the tendency for IQ scores to increase at a rate of approximately 3 points per decade. This model was presented as a resolution to the IQ paradox--the observation that IQ scores have been increasing despite their high adult heritability--on the basis…

Articulated bodies with an internal energy source require to be coupled to an external mass in order to accelerate themselves but the typical text book assertion that the net force is provided by the external mass is not correct. Arguments are presented demonstrating that the assertion is incorrect and reasons are suggested for the persistence of…

An important part of test development is ensuring alignment between test forms and content standards. One common way of measuring alignment is the Webb (1997, 2007) alignment procedure. This article investigates (a) how well item writers understand components of the definition of Depth of Knowledge (DOK) from the Webb alignment procedure and (b)…

Understanding energy with a focus on sustainable development requires further knowledge beyond traditional conceptual understanding. This paper presents the result from one main investigation and two smaller follow-up studies. The main study (step 1) consists of an interpreting, iterative analysis of statements made by experts on contents for…

The aim of this study was to investigate the role of central coherence skills and theory of mind competences in ambiguity detection in adolescents with Asperger syndrome (AS). We sought to pinpoint the level at which AS individuals experience difficulty detecting semantic ambiguity and identify the factors that account for their problems. We…

Teaching English language learners has long presented challenges for teachers tasked with bringing these students to a level of language comprehension comparable to that of native speakers. These challenges and issues can lead to difficulty comprehending core academic topics for those learning the English language. "Optimizing Elementary…

This paper examines students' achievements in solving problems and their misunderstandings when using models. A mixed research methodology was applied. Quantitative research investigated how the performance of students with various levels of high school GPAs correlated with their rating of their lecturers' teaching proficiency. Four lecturers and…

The purpose of this qualitative study was to examine pre-service teachers' perceptions of a culturally responsive, anti-bias curriculum. Additionally, this study explored how the use of culturally responsive course work influenced the participating pre-service teachers' perceptions. Responses to both pre and post-teaching open ended questions,…

This qualitative study looked at a book club for US teachers in public schools focused on teaching writing to English language learners (ELLs). To guide the study, the central research questions were: (1) What are teachers' perceptions about a book club professional development experience?; and (2) How are teachers' views about second language…

This paper presents selected findings from a wider study on the expression of health within physical education (PE) curricula in secondary schools in England and Wales. The study revealed that the expression of health in PE broadly reflected ideologies associated with promoting "fitness for life" and "fitness for performance"…

Research involving student and tutor responses to a "pedagogy of the heart" approach in a first year university health science topic revealed anxiety, insecurity and perceptions of unpredictability in relation to an innovative arts-based assignment designed to elicit and assess experiential or imaginal knowledge. Using the lens of…

For decades scholars have agreed that the United States is becoming a more racially and ethnically diverse society. It is projected that the U.S. will become a majority-minority nation for the first time in 2043. By 2060, people of color will consist of 57% of the total population. Given this trend, it is hardly surprising that this social…