This study was conducted to identify mathematical errors and mistakes made by preservice elementary mathematics teachers in the calculus course. To that end, the document analysis method of qualitative research models was used in the research. The sample of the research included a total of 75 preservice teachers who were attending the Department…

Explicit-reflective nature of science (NOS) instruction has demonstrated a positive impact on student learning. Although explicit-reflective NOS instruction often consists of questions that draw students' attention to NOS ideas, there are few recommendations in the science education literature about how the form of these questions might inform NOS…

The use of realistic visualizations has gained considerable interest due to the proliferation of virtual reality equipment. This review is concerned with the theoretical basis, technical implementation, cognitive effects, and educational implications of using realistic visualizations. Realism can be useful for learners, but in several studies,…

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…

Research in the area of equivalence and the equal sign dates back decades, demonstrating students often possess misconceptions concerning the meaning of equivalence and the equal sign. Students often understand the equal sign to mean the answer comes next (i.e., an operational definition) instead of the same as (i.e., a relational definition).…

The Department for Education (DfE) in England seeks to determine the actions of educationists in both the public and private sectors through the use of targeted instructive documents and white papers where broader policy intention is presented. Since 2010, as we will show, there has been a shift in the nature of such papers towards justification…

This article investigates the optics conceptions of 228 Thai high school students in grades 10-12 when they attempted to explain how an object can be seen both in general and in a completely dark room. To elicit students' conceptions precisely, their confidence in giving reasons for the final two diagnostic questions is also considered. The study…

Since their initial development in the early 1900s, and their rapid growth in the 1960s, community colleges have had a history of shifting focuses and programming, retooling academic offerings, and otherwise altering their behavior to meet the ever-changing needs of their communities. Despite this defining characteristic as a sector of change, not…

One of the greatest conceptual difficulties faced by middle level mathematics students is developing a rich understanding of irrational numbers that includes recognizing that irrational numbers are truly real numbers with an exact value and an exact place on the number line. Developing a deep conceptual understanding of irrational numbers is…

The purpose of this interpretative phenomenological analysis (IPA) study was to garner a greater understanding of professional counselors' experiences and understandings of the role and boundary changes in their personal relationships following counselor education and preparation. Additionally and interrelatedly, professional counselors'…

Plant leaves are green because they contain the green photosynthetic pigments, chlorophylls a and b. Popular science literature, and sometimes even textbooks, state that the greenness is caused by reflection of green light by chlorophyll. In the present study, we compared the reflectance spectra of green leaves to yellow or white leaves of the…

This study aims to examine the concept images of pre-service mathematics teachers for the concepts of single-variable and multivariable functions. In the present research, which was conducted with the case study method, a test consisting of three open-ended questions was used to obtain data about the definition of the concept of function and the…

Despite over 30 years of educational research to the contrary, some educators continue to hold to classroom management theories along the lines of "don't smile until December," which pits consistency and control in the classroom against the kindness and caring that should also characterize the learning environment. We address the source…

As the dual crises of the ongoing COVID-19 pandemic and worsening climate change show, the public must be accurately informed about science. However, many barriers hinder effective messaging about science to the public, including little formal communication training for scientists and an abundance of misleading information from nonscientific…

How can we help students understand the Holocaust in its full historical complexity, particularly when they often come to class with misconceptions arising from the representation of the Holocaust in popular culture? Over a three-year period, Sam Ineson set out to integrate the historical Holocaust into his school's formal and informal curriculum,…