Challenges and Prospective Directions of Enhancing Teaching Mathematics Theorems in School

Designing a didactic fairy tale as a key to advanced Physics and Mathematics training in primary schools

“…Различные составляющие теоретических основ формирования у учащихся понятий в процессе обучения математике, культуры мышления ее средствами -предмет исследования во временной ретроспективе М. И. Бурды, М. Б. Воловича, Я. И. Груденева, В. А. Гусева, О. Б. Епишевой, В. М. Монахова, Ю. М. Колягина, В. И. Крупича, Г. И. Саранцева, З. И. Слепкань, А. А. Столяра, Н. А. Тарасенковой, А. Я. Хинчина, П. М. Эрдниева и др. [1,5,6,16,25,29,30] Из всего многообразия соответствующих теоретических наработок нас больше интересуют те, в которых отражаются специфические требования математики к личности ученика. Одним из первых их раскрыл А. Я. Хинчин.…”

Factors Affecting Techniques of Teaching Theorem Proof

“…We pointed out and analyzed the main directions of scientific studies of the problem in the paper [7]. Our studies stated that when applying different practices to teach students theorems and their proofs, present working teachers traditionally follow the sequence: 1) motivating to learn a theorem; 2) presenting a theorem; 3) working with the wording of a theorem; 4) motivating to prove a theorem; 5) searching with students the way to prove a theorem; 6) presenting reasoning and proving; 7) reviewing and mastering the proof; 8) applying the learned proof solutions to prove other mathematical statements.…”

Usage of Information Communication Technologies for Training Prospective Mathematics Teachers in the Context of Dual System of Education in Ukraine

“…The experience of the American teachers regarding the organization of the professional training of the students -future teachers, the priority element of which is practical training, is of interest. On the base of the analysis of the papers [4][5][6][7][8][9][10][11][12][13], it can be stated that practical direction of the training, its functional value, possibility of practical application for the achieving of the teaching goals is a priority in the axiological orientations of the educational system of the United States. The important component of the system of the pedagogical education of the USA, connected with practical training of the future teachers in the condition of school, became the schools of the professional development -innovation establishments created on the base of the partnerships between the teacher training colleges of the university and comprehensive secondary schools of different levels, from primary to higher school [5].…”