Purpose: The purpose of this scientific monograph is to show new and creative approaches to different school subjects in primary and secondary level. Methodology: Interdisciplinary and international comparative approaches were used. Now according to the 7th Framework Program, the preferred form of Science Education (www.scientix.eu) is preferred inquiry-based learning. Chapters in the monograph bring a lot of different kinds of motivation for teachers in practise. Results: Results indicate that using constructivist and inquiry-based learning methods bring positive results in motivation and development of key competencies by pupils in primary and secondary level. Conclusions: Results show that pupils who are working in groups and led by teachers as managers of theirs own activities have better results than pupils led in transmissive form. Recommendations: Educators need to increase their knowledge of the effects of constructivist teaching to pupils and need international and interdisciplinary exchange of best practices. Additional data: Monograph was supported by Erasmus Intensive Program. [Contents of this monograph are as follows: (1) Some Interactive Elementary Mathematics Lessons (Edith Debrenti); (2) Origami and Mathematics (Asuman Duatepe Paksu); (3) New Inequalities in Higher Education: Pre-Service Teachers in Partium Region (Agnes Reka Dusa and Edina Kovacs); (4) Instructional Software with Focus on Instructional Games in Mathematics and Chemistry Education (Pavla Hanzalova and Katerina Chroustova); (5) On a Method Solving Some Mathematical Problems Using Quantifier Elimination (Lukas Honzik); (6) Importance of Narration in Primary Education (Zuzana Chanasova); (7) Use of Educational Software for Mathematics and Computer Science (Jan Guncaga, Janka Majherova, and Hedviga Palasthy); (8) Education in Smart Cities (Sevinc Gulsecen, Serra Celik, Sebnem Ozdemir, Tuba Ugras, and Mustafa Ozcan); (9) Education of the Pupil for Life in the Complex Society and the Role of the Teacher in this Process (Giuseppi Mari); (10) Curricula and Values in Teacher Training (Silvia Matusova); (11) Introduction to Computer Animation and Its Possible Educational Applications (Sajid Musa, Rushan Ziatdinov, Carol Griffiths); (12) Pedagogical Training from the Pre-Service Teachers' Point of View at the University of Debrecen--A Pilot Research (Zoltan Nagy, Krisztina Banoczki, Eszter Gerjak, Daniel Karai, Jozsef Katona, Edina Malmos, and Eva Fruzsina Racz; (13) Sprachliche Attituden der Slowaken in Sudostungarn--Einfluss zum Schulwesen (Sandor Janos Toth); and (14) Science Education--Formal versus Informal Education (Zuzana Vaclavikova). [Individual papers contain bibliographies.]