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Learning Mathematics with Grandpa: Digits by Orlando & Paloma Alonso - Printed Copy

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About This Work

Printed Edition: This is a physical copy of the product 

Authors:  Orlando Alonso and Paloma Alonso

Type of Work: MATHEMATICS FOR CHILDREN Textbook/Workbook

Description: This book is based on real events. It tells the story of the interactions between a first-­grade student and her grandfather, who is concerned with the development of not only his granddaughter’s mathematical skills, but also of all children and youth. It is our goal to share our family patrimony with you, so the stories told here could be part of your family’s heritage as well.

There is no better guarantee for future college education, than that which grows out of passion for understanding the process of learning. To this end, it is particularly important to know how we learn mathematics. Unfortunately, many parents and guardians do not know how to participate in their children’s mathematics education, even at early stages, or feel incapable of following up with the school’s curricular demands.

Although the content of this book could be a valuable resource for an elementary teacher, it has been developed as a complementary resource for children and their parents and guardians. This method is meant to be comprehensible, intending to make mathematics learning enjoyable and attainable, demystifying opposing opinions, while imparting knowledge that will help the child excel at school.

The book is aligned with current school curriculum trends where coherence and communication are well received; it does not cover all topics in the first grade curriculum nor imitates a school curriculum sequence or extant curriculum materials. It is the fruit of the creative work of a mathematics educator who took the opportunity of having his granddaughter during weekends and prepared mathematics activities for them to partake in together.

Continually under inspection was the suitability of the designed activities to increase the child’s motivation towards mathematics, as well as an understanding of the topics covered. 

The book aims to develop conceptual understanding and procedural skills on the addition of digits as a foundational structure to succeed in the study of elementary level mathematics. Concrete strategies for this purpose are discussed, while many other important mathematical concepts and procedures are introduced or could be added, keeping in mind the individual characteristics of your child. Most of these are present to build coherence in the mathematical logical discourse, whether they are introduced to or discovered by the child as he/she become familiar with mathematical thinking processes.

The child was never forced to memorize any result, but encouraged to discuss whether or not things were clear. During this process activities were subdivided allotting more time to be covered or repeated, sometimes following a different direction than the one that was planned. Learning is seen as a process that requires time. Moving forward and sometimes going back and doing it again will bring unexpected positive results.

The uses of this book are open to interpretation. You may want to read it to your child or set up activities that resemble the ones presented here. In this case, a blackboard was used many times, imitating a school setting; however, printouts proved very attractive for the child to complete independently, as was playing mathematical games developed with the child using concrete manipulative tools. You could expect that your child may read and complete tasks on his/her own. However, make sure your choices are appropriate so as not to become a source of frustration.

There are multiple representations for the mathematical concepts developed, so they could be grasped from informal to more formal presentations, making use of repetitive reasoning for conceptual retro alimentation as children are introduced to the appropriate mathematical language. Answering problems by first looking for patterns and then moving on to more open contexts is encouraged, as are discussions on procedures followed and justification of answers. Real-­‐life problems and stories help to develop mathematical modeling skills and to give relevance to the mathematical concepts included.

Pages: 59

Written: 2014-15

Published by: SECONDAPRATTICA.ORG

Table of Contents:

Quest #1: How are numbers written? What is the value of the number zero?

Quest #2: Are numbers ordered? What do numbers tell us?

Quest #3: Comparing two numbers. How do we read numbers and number sentences? Place value.

Quest #4: Finding a pair of digits adding up to a digit. Even or odd.

Quest #5: Subtractions.

Quest #6: Adding two digits up to a non‐digit.

Quest #7: Adding three digits.

Quest #8: Putting it all together. Adding two digits up to a non-­‐digit.

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