By Suzanne H. Chapin

**Read Online or Download Math Matters: Understanding the Math You Teach Grades K-8, 2nd Edition PDF**

**Similar elementary education books**

**Care and Education in Early Childhood: A Student's Guide to Theory and Practice**

The authors draw on their large early years services to supply a accomplished and up to date overview of the main concerns within the box of early formative years care and schooling. during this well timed and obtainable textual content, scholars will locate: an summary of the foundations of powerful perform discussions on equivalent possibilities and kid's rights an exam of the way little ones examine and the educational problems they could face investigations into what operating with mom and dad rather ability attention of the several early years structures in operation summaries of key administration concerns and helpful info on the right way to deal with them comparability with eu views on early years care and schooling.

Overall well-being is a a chain of 3 books designed as an entire well-being software for fundamental scholars. This wonderful sequence contains sections approximately Human improvement, protection, meals and nutrients and Relationships. there's a big range of age-appropriate and correct actions, that might have interaction scholars.

**Modeling mathematical ideas: developing strategic competence in elementary and middle school**

Modeling Mathematical principles combines present learn and useful ideas to construct lecturers and scholars strategic competence in challenge fixing. This informative publication helps lecturers in realizing studying progressions that handle conceptual guiding posts, in addition to scholars’ universal misconceptions, in investigating and discussing vital mathematical principles on the topic of quantity experience, computational fluency, algebraic considering and proportional reasoning.

**Extra resources for Math Matters: Understanding the Math You Teach Grades K-8, 2nd Edition**

**Example text**

Even though subtraction is not commutative, there are interesting relationships in the differences of numbers when their order is reversed for subtraction. , Ϫ4). This can be represented formally as: a Ϫ b ϭ c and b Ϫ a ϭ Ϫc if a b 0. , ϩ4 ϩ Ϫ4 ϭ 0)? The number 0 is the identity element for addition. You can add 0 to any other number and the sum will be the original number. Why does this pattern of opposites occur when we change the order of the numbers in a subtraction problem? The difference between two numbers can be represented on a number line as an interval—the distance between two points.

Qxd 2/8/06 1:30 PM Page 26 one hundred thousand, 5 groups of ten thousand, and 6 groups of one thousand (which is equivalent to 456 groups of one thousand); plus 7 hundreds, 8 tens, and 9 ones. While we say the quantity in each period as if we are only focusing on face value (“four hundred fifty-six thousand”), students must be able to interpret the place value meaning of each digit within the periods (which involves more than simply identifying the place value of each digit). Helping Students Understand Our Place Value System How can we help students understand our place value system?

In addition to using counting to make sense of quantities, children also use imagery. In general, children are interested in developing more efficient ways to count, and over time they learn to “see” small numbers without counting. They instantly recognize ◆◆◆ as three. The identification of small quantities without counting is known as subitizing and appears to develop after children have had repeated practice in counting such sets. Sometimes students recognize only particular arrangements of objects such as the dots on a die.