This paper presents a novel figure for teaching multiple geometric proofs of the Pythagorean theorem. Because it consists only of congruent given right triangles, the figure can be constructed using a template of the given right triangle or, if available, a computer program. Within the figure, called a Pythagorean multi-proof square, there are…

The debate on the validity of teaching students how to identify their own preferred learning style is not going to go away anytime soon as evidenced by the number of articles still being written about the topic. One can find numerous research studies that say students have different strengths and weaknesses when it comes to learning and retaining…

This resource presents the findings of a two-year study on preservice teachers who struggle in practicum. This study, funded by the Alberta Advisory Committee for Educational Studies, sought the tips and advice of ten in-service teachers and five school-based leaders who work extensively with preservice teachers and who have had at least one…

"Invention through Form and Function Analogy" is an invention book for teachers and other leaders working with youth who are involving students in the invention process. The book consists of an introduction and set of nine learning cycle formatted lessons for teaching the principles of invention through the science and engineering design…

Word Problems those are also named as "Story Problems" which are well known to the students around the world. In this book there are 26 chapters which encompass diversified problems of four basic mathematical rules--addition, subtraction, multiplication and division. These problems may help students to practice more and more as well as…

Grade inflation has been a consistently ignored problem in the public schools and universities for over fifty years. Grades keep getting higher and higher for a multitude of reasons. Students expect high grades. Parents demand high grades of their children and teachers. Some administrators implicitly or explicitly require that their teachers give…

Too much speaking and indiscipline in class is an on-going problem for any teacher, it is at its least disruptive and at most it destroys a good positive classroom atmosphere. This article recognizes this and continues this debate and suggests key clues to support teachers in their efforts to maintain a positive classroom atmosphere and discipline…

This manual consists of an introduction to our Academic Peer Instruction (API) program at LaGuardia Community College, a compilation of the materials we have developed and use for training of our tutors (with answers), and a bibliography. API is based on an internationally recognized peer tutoring program, Supplemental Instruction. (Contains 6…

This paper focuses on college students with psychiatric disabilities. It defines and discusses various psychiatric conditions such as mood disorders, anxiety disorders, eating disorders, and personality disorders. It concludes with accommodations that a college professor can make to help these students succeed in higher education. (Contains 1…

In assessment, the ability to construct test items that measure a targeted skill is fundamental to validity and alignment. The ability to do the reverse is also important: determining what skill an existing test item measures. This paper presents a model for classifying test items that builds on procedures developed by others, including Bloom…

The universities and faculties which educate teachers of mathematics for teaching pupils/students of any age group from pre-school age to higher education carefully monitor and compare valuable results of this research, detect the areas in which the mathematical achievements of pupils should be improved at the national level and propose the ways…

A plethora of research (McCadden, 1998; Monroe 2005; Skiba, Peterson, & Williams, 2000) on student discipline emphasizes the inequities surrounding the distribution of disciplinary actions taken by schools/school districts in regards to behavior, particularly for African American males. This study provides an in-depth examination of disciplinary…

This article deals with effective strategies to show that educators and school administrators can utilize court-ordered mentors, for at-risk juveniles placed in their classrooms. In the late 1980s and 1990s there was a convergence of two major events in juvenile justice. These were the reduction of government funds to address serious social…

This paper discusses the curriculum and students' and teachers' conceptions of proof. It goes on to discuss university students' difficulties with proving related to understanding and using definitions and theorems, understanding the structure of a proof, knowing how to read and check proofs, knowing and using relevant concepts, bringing…

A study was conducted with forty-seven preservice childhood (elementary) education teachers (42 F, 5 M) enrolled in two mathematics methods classes taught by the same instructor to determine the effect of these college students making curriculum materials appropriate for upper elementary students on the preservice teachers' knowledge of…