Get Math makes sense!: a constructivist approach to the teaching PDF

By Ana Helvia Quintero, Hector Rosario

ISBN-10: 1783268638

ISBN-13: 9781783268634

ISBN-10: 1783268646

ISBN-13: 9781783268641

The tools for educating arithmetic often stick with the constitution of arithmetic. the matter with this can be that the constitution of arithmetic took centuries of elaboration to advance and isn't almost like how one initially reports arithmetic. in accordance with learn of the way arithmetic is basically realized, this ebook provides an cutting edge strategy for educating arithmetic that may interact students and will have lifelong advantages for a way they tackle board extra complicated mathematical topics.

Math Makes Sense! uses the sensible arithmetic schooling (RME) philosophy, which bridges the space among casual arithmetic studying (such as in day by day lifestyles) and extra formal instructing in class. Many real-life events as examples for studying are integrated, in addition to diverse mathematical and common sense puzzles that may stimulate studying and foster understanding.

the tips provided aren't limited to 1 nationwide curriculum and so could be beneficial all over the world to lecturers/ teachers (both in perform and people nonetheless in training), inner most tutors, homeschooling mom and dad, and academic researchers.

Readership: academics, trainee lecturers, researchers drawn to arithmetic schooling, homeschool mom and dad, and oldsters with little ones in fundamental/ hassle-free institution

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Additional info for Math makes sense!: a constructivist approach to the teaching and learning of mathematics

Sample text

What it does imply is that manipulatives, without the process of construction and reflection, are not very helpful. Yet, if we use the materials as building tools, they can be valuable. For example, once the student has experienced a curricular sequence as previously described and developed the idea of ones, tens, and hundreds, we can use blocks to explain rules of operations. indd 31 1/27/2016 1:17:18 PM b2274 Math Makes Sense! Math Makes Sense! 3 Slow and Steady Wins the Race This popular saying also applies to the teaching of mathematics.

This is why teachers’ questions leading to reflection are so important. Finally, around third grade (eight to nine years), we begin teaching the notation of ones, tens, and hundreds. We propose a different curriculum order from the present one. We start by exploring numbers, observing their organization in groups of ten. It is not until the student has this experience and an understanding of the part– whole property that we introduce the properties of our system. Initially we use metaphors (pre-formal) to analyze these properties: groups of straws, the monetary system, the abacus.

Before requesting a representation, she showed them how ten unit blocks correspond to a block of ten. Every child began to represent numbers with units. ” Some children did not understand her and carried on with units. Those who understood the suggestion used the ten block when they reached 18. However, they represented number 24 with a ten block and 14 units. They had seen 16 written as 10 plus 6 and they carried on likewise with 18, apparently understanding the system. When they represented 24 as 10 plus 14, she realized that the children had followed my suggestion to change ten units for a ten block, but that they did not understand the system.

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Math makes sense!: a constructivist approach to the teaching and learning of mathematics by Ana Helvia Quintero, Hector Rosario


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