Deriving Formulas for Three Integers Such That the Sum of Their Squares and the Sum of Products of Their Squares are Both Perfect Square Integers

In this research study we will derive formulas for three integers whose squares sum and the sum of their squares products are both perfect square integers. That is if and  are three integers, then   and  are both perfect square integers. Proofs are most often arrived at through deductive reasoning. A proof is an argument where a given statement is true. In this proof the so called direct proof had used

Enhancing Students’ Attitude towards Mathematics the Case of Three Mettu Secondary and Preparatory Schools in Illu Aba Bora Zone

Students’ success in mathematics depends upon their attitude towards mathematics. It also influences the participation rate and achievement of students. The objective of this research study was to enhance attitude of Mettu Secondary and Preparatory Schools students’ towards mathematics.  A closed ended, self-reported statements questionnaire with Likert type was used to collect data from the concerned stakeholders. Multiple regressions were used for data analysis

Research Based Mathematics Problem Solving and Proving skills Competences

Research findings indicate that addressing problem solving and proving activities each day in the class would affect the thinking and reasoning skills of the students. We discovered that the students became more adept at mathematics problem solving and proving mathematical statements as they practiced various types of mathematical problems and mathematical statements. We also discovered that students worked more diligently on problems of interest to them. Also, some problems are better solved individually, and some are more geared as a group activity. We also proved that they develop the expected skills competences as they practices solving various mathematics problems and proving various mathematical statements

Constraints of Students’ Mathematical Problem Solving and Proving Skill Competences, the Case of Four preparatory Schools in Guraghe Zone

The objective of this research study was to assess the constraints in the students’ mathematical problem solving and proving skill competences and propose solutions in order to overcome these problems (or the constraints). A mixed design (quantitative and qualitative designs) approach was used to collect data from the concerned stakeholders involved in the teaching and learning of mathematics. The study was carried out at four preparatory schools in four Woredas of Guraghe zone. Purposive sampling approach was used to select the sample Woredas and preparatory schools and simple random sampling approach was used to select sample section and sample students. As a result, 293 students were taken (70 students   were from Yaberus Secondary and preparatory school, 62 students were from Emdibir, 72 students were from Butajera and 89 students were from Abafiransua secondary and preparatory school). Questionnaires were administered to these students in order to collect the data for the study.Results of the research showed that some of the constraints identified were students’ poor potential: to identify and use appropriate mathematical problem solving and proving strategies and mathematical keywords or indicators, to put connections among mathematical concepts and procedures as well as mathematical ideas with different real world situations, to transform givens in to solutions or required, family and society negative attitudes about mathematics. Moreover, teachers’ method of teaching mathematics and lack of opportunity for using any type of technology (computer program and software) aggravated the problem. It was found that the problems are multifaceted and accordingly the solutions require overall effort from all concerned stakeholders