Colleges in the US are being compelled to rethink what the First Year Experience or Seminar ought to be for students who have difficulty with mathematics, and what ought to be the mathematics education of teachers, K-12, given the minimal success most students are experiencing. It will be argued here that toward ensuring a more successful…

When solving problems involving proportions, students may intuitively draw on strategies that connect to their understanding of fractions, decimals, and percents. These two statements--"Instruction in solving proportions should include methods that have a strong intuitive basis" and "Teachers should begin instruction with more intuitive…

Young people playing "Halo" or "World of Warcraft" might not realize it, but they are working on the prototypes for a future generation of student tests. The increasing popularity of video and computer games may cause concern among parents, who fear their children are spending too much time on them. However, educators and researchers increasingly…

This paper critically appraises four problem-solving approaches, based on a range of theoretical perspectives and procedures, which are currently used in educational settings to support adults to find solutions to complex problems that arise within classrooms and the wider school community. The four approaches are: Circles of Adults; Teacher…

Readers are invited to imagine students helping to solve real-world sustainability problems brought to them by societal stakeholders and simultaneously learning about and contributing to sustainable changes in society. Effective sustainability research education engages students in just that. Higher education institutions are implementing this…

Reflective practice is used in different fields such as education and mental health. The educational form of reflective practice has been around since the 1930s (Dewey, as cited in Pedro, 2006); it is a problem-solving process that facilitates examination of behavior and responses to behavior. It takes into consideration multiple factors,…

This article discusses the conditions under which all solutions to x[double prime] + q(t)b(x) = f(t) are bounded on [0, [infinite]]. These results are generalizations of the linear case. A short discussion of the properties of bounded oscillatory solutions for both the linear and nonlinear cases when f(t) = 0, xb(x) greater than 0 and b[prime](x)…

Three distinct points A = (a, 0, 0) B = (0, b, 0) and (c, 0, 0) with abc not equal to 0 are taken, respectively on the "x", "y" and the "z"-axes of a rectangular coordinate system in R[superscript 3]. Using the converse of the theorem of Pythagoras, it is shown that the triangle [delta]ABC can never be a right-angled triangle. The result seems to…

The Developmental Audit[R] offers an alternative to traditional assessments that diagnose disorder and focus on pathology. These assessments often end with negative labels for the child and discouraged spirits for all involved in that young person's life. The Developmental Audit[R], on the other hand, encourages youth in conflict to help identify…

The author teaches a content course in problem solving for middle school teachers. During the course, teacher candidates have the opportunity to confront their insecurities as they actively engage in solving math problems using a variety of strategies. As the semester progresses, they add new strategies to their problem-solving arsenal and…

In this short note, by using one of Li and Liu's theorems [K.-H. Li, "The solution of CIQ. 39," "Commun. Stud. Inequal." 11(1) (2004), p. 162 (in Chinese)], "s-R-r" method, Cauchy's inequality and the theory of convex function, we solve some geometric inequalities conjectures relating to an interior point in triangle. (Contains 1 figure.)

Increasing complexity is one of the most pertinent issues when discussing the role and future of design, designers and their education. The evolving nature of digital media technology has resulted in a profession in a state of flux with increasingly complex communication and design problems. The ability to collaborate and interact with other…

This paper firstly introduces the concept of constructivist learning which advocates that students actively construct knowledge themselves with teachers' assistance. Based on the six important elements of constructivist learning and teaching planning approach, detailed examples of designing the six constructivist elements of situation, groupings,…

Education experts argue that using rich mathematical tasks in student-centered classrooms is especially conducive to student learning (NCTM 2000). That said, they also acknowledge that using complex tasks and developing student-centered classrooms can be intimidating and challenging for teachers (Chazan and Ball 1999). One difficulty associated…

We discuss a mathematics capstone course designed to help students grow in mathematical independence. We describe how the course is structured to support this goal and the major assignments: a course wiki, a group expository project, and an individual problem to solve and extend. Students learn to ask and answer their own questions, helping them…