The Math Promise is a contract that family members make with one another. They commit to spending mathematical time together; getting to know each other's mathematical thinking and understanding; and finding time to play math games, solve problems, and notice mathematics in their daily lives. Whether parents and children are cooking in the…

Parents in the United States expect their students to have homework; and students, especially in middle school and high school, expect daily homework assignments from their teachers. However, it is difficult to create effective homework assignments. Despite the challenges involved, the authors believe that homework "can" be an important…

The ethics assessment industry is currently dominated by the second version of the Defining Issues Test (DIT2). In this article, we describe an alternative assessment instrument called the Sphere-Specific Moral Reasoning and Theory Survey (SMARTS), which measures the respondent's level of moral development in several respects. We describe eight…

In the June 2010 "Harvard Business Review," Dan Ariely, a professor of psychology and behavioral economics at Duke University, wrote a column entitled "You Are What You Measure." In it, he thoughtfully prods business leaders to consider the problematic correlation between the tools for measuring progress and actual…

The purpose of this research is to know how Naïve Geometry method can support students' understanding about the concept of solving quadratic equations. In this article we will discuss one activities of the four activities we developed. This activity focused on how students linking the Naïve Geometry method with the solving of the quadratic…

Interpersonal problem solving skills allow engineers to prevent interpersonal difficulties more effectively and to manage conflict, both of which are critical to successful participation on teams. This research provides evidence that the "Career"WISE online learning environment can improve those skills among women in engineering graduate…

Redmoor Academy is a Key Stage 3 (age 11-14) school in Leicestershire, UK, with a student cohort just over 500 pupils. The Academy has a long history of encouraging pupils to consider how STEM subjects relate to each other and to their future careers, and has made great inroads into ensuring that all teachers of STEM subjects are delivering the…

In Indonesia, proportion is being taught formally in Grade 5 (10-11 years old). However, the existing learning approach does not support the development of the students' proportional reasoning. The way to teach proportion by giving cross multiplication is not meaningful for the students. They just memorize the procedure without understanding how…

The concept of multiple representations of functions and the ability to make translations among representations are important topics in secondary school mathematics curricula (Moschkovich, Schoenfeld, & Arcavi, 1993; NCTM, 2000). Research related to students in this domain is fruitful, while research related to teachers is underdeveloped. This…

Gain a new perspective on the sharing of erroneous solutions in classroom discussions. Based on their research in grades four and six, the authors reveal how student-to-student correction of errors promotes mathematical reasoning and understanding. Tips for teachers include strategies for using students' errors to encourage reasoning during…

Education in the twenty-first century must prepare students to meet the challenges of a dynamic and interconnected world. However, assessment of students' skills tends to focus primarily on static tasks. Therefore, it is not known whether knowledge about successful strategies displayed on static tasks can be transferred to interactive and dynamic…

Students with autism spectrum disorder (ASD) are included in general education classes and expected to participate in general education content, such as mathematics. Yet, little research explores academically-based mathematics instruction for this population. This single subject alternating treatment design study explored the effectiveness of…

Proof and proving are important components of school mathematics and have multiple functions in mathematical practice. Among these functions of proof, this paper focuses on the discovery function that refers to invention of a new statement or conjecture by reflecting on or utilizing a constructed proof. Based on two cases in which eighth and ninth…

This study investigates interactions between calculus learning and problem-solving in the context of two first-semester undergraduate calculus courses in the USA. We assessed students' problem-solving abilities in a common US calculus course design that included traditional lecture and assessment with problem-solving-oriented labs. We investigate…

In order to self-regulate, students need to honestly reflect on their learning and to take appropriate corrective action. A simple procedure to cultivate student skills in self-regulated learning, known as the Task Evaluation and Reflection Instrument for Student Self-Assessment (TERISSA) is discussed in this paper. TERISSA guides students through…