Development of Intellectual Activity in Solving Exponential Inequalities

APA 6th edition
In-text: (Alpyssov, Mukanova, Sakenov & Kervenev , 2016)
Your Bibliography: Alpyssov, A., Mukanova, Z., Sakenov, A.K. & Kervenev , K. (2016). Development of Intellectual Activity in Solving Exponential Inequalities . International Journal of Environmental and Science Education, 11(15), 8679-8692.

Harvard
In-text: (Alpyssov, Mukanova, Sakenov and Kervenev , 2016)
Your Bibliography: Alpyssov, A., Mukanova, Z., Sakenov, A. and Kervenev , K. (2016). Development of Intellectual Activity in Solving Exponential Inequalities . International Journal of Environmental and Science Education, 11(15), pp. 8679-8692.

Chicago 16th edition
In-text: (Alpyssov, Mukanova, Sakenov and Kervenev 2016)
Your Bibliography: Alpyssov, Akan, Zhazira Mukanova, Assel Kireyeva Janat Sakenov and Kabylgazy Kervenev (2016). "Development of Intellectual Activity in Solving Exponential Inequalities ". International Journal of Environmental and Science Education 11 (15):8679-8692.

Abstract

The article describes the possibilities and the main directions of development of intellectual activity in teaching mathematics in school. The aims and specific features of application of international comparative TIMSS and PISA studies, as well as their results in the field of mathematics education in relation to the pupils in Kazakhstan are analyzed. We present some examples of solving exponential inequalities by the inverse operation method: in solving them it is possible to develop creativity and form the thinking logic of pupils.

Keywords: mathematics education, intellectual activity, TIMSS, PISA, mathematical literacy, methods of inverse operations, solution of exponential inequalities, the standard inequality

References

Filippov, V.B. (2000). Matematika v obrazovanii i vospitanii [Mathematics in Education and Upbringing]. Moscow: Fazis.

Reshotova, Z.A. (2002). Formirovanie sistemnogo myshleniya v obuchenii [Formation of Systemic Thinking in Training]. Moscow: UNITY-DANA.

Lockhart, P. (2014). Plach matematika. Matematika v shkole [A Mathematician’s Lament. Mathematics in School]. Retrieved August 23, 2016, from http://ege-ok.ru/wp-content/uploads/2014/04/Pol_Lokkhart_quot_Plach_matematika_quot.pdf.

Uspenskiy, V.A. (2010). Apologiya matematiki [Apology of Mathematics]. Saint Petersburg: Amphora.

Alpysov, A.K. (2013). Uravneniya i neravenstva [Equations and Inequalities]. Pavlodar.

Esmukhan, M.E., & Alpysov, A.K. (2002). Pokazatel'nye i logarifmicheskie uravneniya i neravenstva [Exponential and Logarithmic Equations and Inequalities]. Kokshetau.

Alpysov, A.K. (2012). Metodika prepodavaniya matematiki [Methods of Teaching Mathematics]. Pavlodar.

Zhokhov, A.L. (2007). Mirovozzrenie: stanovlenie i razvitie, vospitanie cherez obrazovanie i kul'turu [Worldview: Formation and Development, Upbringing through Education and Culture]. Arkhangelsk: Institute of Management; Yaroslavl: Yaroslavl branch of IU.

Khazankin, R.G. (1990). Kakaya krasivaya zadacha! [What a Beautiful Problem!]. Narodnoe obrazovanie, 9.

Rezul'taty mezhdunarodnogo issledovaniya otsenki uchebnykh dostizheniy uchashchikhsya 4-kh i 8-kh klassov obshcheobrazovatel'nykh shkol Kazakhstana. Natsional'nyy otchet [The Results of the International Study Evaluating Educational Achievements of the Pupils of the 4th and 8th Grades of Secondary Schools of Kazakhstan. National Report]. (2013). Astana: NTSOSO.

OECD. (2013). PISA 2012 Assessment and Analytical Framework. Mathematics, Reading, Science, Problem Solving and Financial Literacy. Paris: OECD.

The World Bank. (2013). Ukreplenie: sistemy obrazovaniya Kazakhstana. Analiz rezul'tatov issledovaniya PISA, provodimogo v 2009 i 2012 godakh [Strengthening the Education System of Kazakhstan. Analysis of the Results of PISA Conducted in 2009 and 2012]. Retrieved August 23, 2016, from http://documents.worldbank.org/curated/en/230321468263647366/pdf/929130RUSSIAN00n0Online0FINAL0Dec01.pdf.

Matematicheskaya gramotnost' uchashchikhsya [Mathematical Literacy of Pupils]. (2014). Astana: Branch of the "Education Measurement Center" of "Nazarbayev Intellectual Schools".

Sakenov, D.Zh. (2012). Preparation of Students of Higher Education Institution for Professional Activity in the Course of Studying of Pedagogical Disciplines. World Applied Sciences Journal, 19(10): 1431-1436.

Schantz, E.A. (2012). Professional Training of University Students as a Holistic Educational System. Theory and Practice of Education in the Modern World, 1: 383-386.

OECD. (2012). PISA 2012 Released Mathematics Items. Retrieved August 23, 2016, from http://www.oecd.org/pisa/pisaproducts/pisa2012-2006-rel-items-maths-ENG.pdf.