Polynomials with rational roots and extrema may be difficult to create. Although techniques for solving cubic polynomials exist, students struggle with solutions that are in a complicated format. Presented in this article is a way instructors may wish to introduce the topics of roots and critical numbers of polynomial functions in calculus. In a…

Many school districts in North Carolina are striving to increase proficiency levels in mathematics. With the implementation of the Common Core State Standards, mathematics standards have changed drastically and students are expected to solve complex multi-step word problems and explain how they solved them. As a result, teachers equally need a…

"Catalyzing Change in High School Mathematics: Initiating Critical Conversations" identifies and addresses critical challenges in high school mathematics to ensure that each and every student has the mathematical experiences necessary for his or her future personal and professional success. These challenges include: (1) explicitly…

Various instruments for assessing metacognitive skills and strategy use exist. Off-line self-reports are questionnaires and interviews administered either before or after task performance, while on-line measures are gathered during task performance through thinking aloud or observation. Multi-method studies in reading have shown that off-line…

Gendered patterns in mathematics and science interest emerge in early childhood, develop over time, and ultimately reflect advanced course selection in secondary education. During the crucial time adolescents become aware of their strengths and interests and specialize accordingly, they get the opportunity to participate in out-of-school learning…

Problem solving is the building block of mathematics. Different approaches have been exhibited throughout the history to solve the problems that are as old as the history of humanity. As a result of developments in mathematics education, the problems are divided into different types according to the solution methods. Determining the types of these…

In this study, we examined five mathematics teacher educators' (MTEs') interpretation of the situative perspective, who self-identify as holding that perspective. Furthermore, we share how they designed and facilitated their secondary mathematics methods course pertaining to the activities they identified as most important for the course. We…

Many research studies have sought to explain why NCTM's vision for mathematics classrooms has not had greater impact on everyday instruction, with teacher beliefs often identified as an explanatory variable. Using instructional exchanges as a theoretical construct, this study explores the influence of teachers' institutional positions on the…

With science, technology, engineering, and mathematics (STEM) heralded as pivotal to Australia's future prosperity, declining participation in Year 12 mathematics and science has attracted nationwide concern. While the national statistics certainly provide clear evidence of declining enrolments and the underrepresentation of females in STEM, we…

Argumentation, as a kind of classroom discourse, is beneficial for establishing mathematical knowledge taking place in classroom conversations. It can enhance learners' development of subject matter knowledge. Hence, this case study was designed to examine the effect of argumentations on developing subject matter knowledge in detail in…

Background: School leaders are challenged by the relatively limited supply and high turnover of qualified secondary school mathematics teachers. In response, policy makers and teacher educators have developed various pathways and incentives to recruit, train, place, and support highly qualified mathematics teachers to work in hard-to-staff…

In this study, it was aimed to reveal the ideas of the secondary sixth and eighth grade students about the concept of decimal via mental images. Moreover, within the scope of this study, the differences between the mental images of the sixth and eighth grade students about the concept of decimal number will be investigated according to their class…

The transition from primary to secondary school is regarded as one of the most difficult crossings in students' educational careers. The move, which typically occurs between the ages of twelve and fourteen, can be particularly pronounced for mathematics. This article describes the results of a questionnaire distributed in the Republic of Ireland…

This study utilizes Positioning Theory as a lens to analyze interactions between a teacher and her students. Using those interactions, this study seeks to better catalog and understand pervasive storylines in one teacher's secondary mathematics classroom as well as the intertwined positions of teacher and students within those storylines.…

This study investigated the possible impact that incorporating daily metacognitive questioning in a mathematics classroom could have on student achievement. The study integrated metacognition into the classroom through the daily use of metacognitive questioning sheets that were answered by students who participated in the research study. The study…