Math Mammoth Introduction to Fractions - Softcover

Miller, Maria

Softcover

ISBN 10: 195435858X ISBN 13: 9781954358584

Publisher: Math Mammoth, 2024

Synopsis

Math Mammoth Introduction to Fractions contains lessons for fraction arithmetic for grades 1-4. This material does not include division or multiplication of fractions, nor adding unlike fractions, which are topics for 5th and 6th grades. Also, most of the material here is for 3rd and 4th grades, and only a few lessons are meant for grades 1-2.

The topics covered are on a simple level, constantly illustrated with visual models, and with small denominators. The presentation avoids spelling out specific rules for manipulating fractions, but instead relies on the usage of pictures on a very concrete level. Children easily confuse the various rules for fraction arithmetic, because there are so many. There is a place for the rules, as shortcuts for ideas that are already understood, but we do not start with them. The goal is to let the big ideas sink in conceptually first, followed by some shortcuts.

The topics covered are

• one half and one fourth
• concept of a fraction
• concept of a mixed number
• comparing fractions
• equivalent fractions
• adding and subtracting like fractions
• adding and subtracting mixed numbers with like fractional parts
• adding one fraction that has tenths and another that has hundredths (such as 3/10 + 7/100)
• multiplying a fraction by a whole number

The lessons are organized by topic, not by increasing difficulty. For reference, 1st grade students study only the concept of one half and one fourth. In 2nd grade, they study the concept of a fraction and optionally the easiest (first) lesson on comparing fractions. In 3rd grade, students study the concept of a fraction, fractions on a number line, comparing fractions, and equivalent fractions. Then in 4th, they study mixed numbers, comparing fractions, equivalent fractions, adding and subtracting fractions and mixed numbers, and multiplying fractions by whole numbers.

The answers are appended.

About this title

About the Author

Maria Miller was born and grew up in Finland where she also received a master's degree in mathematics in 1997. She loves math and teaching, so becoming a math teacher was a natural career for her. Miller started writing math books in 2002, prompted by her experiences in tutoring homeschooled children. She felt the books they were using were inferior, especially when it came to conceptual understanding of mathematics, so she began to write books that focus on the concepts and the "why" of mathematics, though not forgetting the "how" and the needful practice. Over the years, her materials have become popular and appreciated, both among parents and teachers. In her free time, she likes walking, bicycling, swimming, reading, helping out with Inspire4.com, playing piano, and listening to music.

Edition details

• Publisher: Math Mammoth
• Publication date: 2024
• Language: English
• ISBN 10: 195435858X
• ISBN 13: 9781954358584
• Binding: Paperback
• Number of pages: 122