COMPARISON OF THE CLASSICAL SOLUTION TO SUBTRACTION EXERCISES AND THEIR SOLUTION WITH REPRESENTATIONS

Authors

  • Andreas Marinos Dr., School of Education and Social Sciences, Frederick University, Nicosia, Republic of Cyprus and Mathematical Education and Multimedia Laboratory, University of Aegean, Greece

DOI:

https://doi.org/10.46827/ejes.v8i11.3993

Keywords:

primary school, representations, subtraction exercises, using the usual algorithm

Abstract

294 pupils aged 8-9 years were given subtraction problems. Initially the pupils managed to solve the exercises using the usual algorithm (a-b=c). Simultaneously they made a representation of their solutions using 4 shapes which had been pre-agreed by the pupils and their teacher. Not only were the results unsatisfactorily worked out, but they were lower than the (also) unsatisfactory solutions given in the students’ efforts to solve the problems in the classical way. A teaching configuration was then prepared. After this an overall improvement was discerned in the majority of pupils, in subtraction problems.

 

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Author Biography

  • Andreas Marinos, Dr., School of Education and Social Sciences, Frederick University, Nicosia, Republic of Cyprus and Mathematical Education and Multimedia Laboratory, University of Aegean, Greece

    Andreas Marinos, son of Christos, was born in Rhodes-Greece in 1966. He has a PhD in the Didactics of Mathematics and Evaluation Post-Ph.D in the Administrator with mathematics tools in Education withand post graduate qualification in School Administration. Has studied Electrical Engineering teacher and a graduate of the School of Education of the University of the Aegean. He has over 100 scientific published, all with the critique system. He has presented his own work at 16 International conferences. In 2000- 2001 and 2003-2007 he taught in the School of Education of the University of the Aegean (Gov. Gazette) From 2012-2017 with the Higher School of Pedagogical and Technological Teaching Placement Contract he taught the following lessons: Organisation, Management and Sociology of Education, Educational Assessment, the Teaching of Speciality Courses, Didactic Methodology, and the Practice of Teaching. In 2016-SUMMER 2018 worked with a placement contract for he taught of the Neapolis University of Paphos. In 2020-today with a placement contract for he taught the modules: Issues of educational policy and educational change ". Evaluation and Quality Assurance in Education, and Theories and Principles of Educational Administrator and Leadership. in the postgraduate programme of the Frederick University. In 2019-20 with a placement contract for he taught the modules: Measurement and Evaluation in Special Education of the University of Nicosia. He has worked in dozens of training programmes for civil servants, such as Municipal – Regional – School of Education Teachers, and also private employees (traders, hotel employees, business executives). He has been the Headmaster of the 3rd General Lyceum, Rhodes since 2015. He was Director of the Vocational School of Rhodes from 2011 to 2014 and has been teaching in secondary education for 30 years.

    He is involved in public affairs and has been president of the Union of Middle School Teachers Association of the Dodecanese, (a body of 1200 members) an elected member of the Dodecanese District Council for Secondary Education. He is also an elected member of the Senior Executive Council of the South Aegean and an elected member of the Dodecanese Disciplinary Board of Secondary Education Teaching Staff.

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Published

2021-10-28

Issue

Vol. 8 No. 11 (2021)

Section

Articles

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