By John A. Van de Walle, Karen S. Karp, Jennifer M. Bay-Williams
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Help all Pre-K-8 rookies make experience of math
Written through leaders within the box, Elementary and heart university Mathematics:Teaching Developmentally is helping instructor applicants boost a true knowing of the math they are going to train and the simplest equipment of educating Pre-K-8 math themes. this article displays the typical center nation criteria and NCTM’s Principles to activities, as good as present examine. Emphasis is put on instructing math conceptually, in a problem-based, developmentally applicable demeanour that helps the educational wishes of all scholars. Pause and mirror activates and actions interact pre-service lecturers as they bolster their very own wisdom of the mathematics. lecture room movies and examples of genuine scholar paintings permit instructor applicants to visualize solid arithmetic guide and review. a tremendous connection with seek advice all through a instructing profession, this ebook is helping lecturers and their scholars event the thrill that occurs whilst math is sensible. The Enhanced Pearson eText positive aspects embedded video, tests, and clickable job Sheets and Blackline Masters.
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Extra resources for Elementary and Middle School Mathematics: Teaching Developmentally, Global Edition
Let’s go back to fractions as an example. What is important for a student to know about fractions such as 68 ? What might a fourth grader know about 68 ? At what point do they know enough that they can claim they “understand” fractions? It is more complicated than it might first appear. Here is a short list of what they might know or be able to do: • Read the fraction. • Identify the 6 and 8 as the numerator and denominator, respectively. • Recognize it is equivalent to 34 . • Say that it is more than 12 (recognize relative size).
8 * 7 or 13 * 12)? What if the factors differ by 2 or by 3? • Think about adjusting by numbers other than one. , 7 * 7 to 9 * 5)? , 30 * 30)? , one up, one up), is there a pattern? (a) This is 7 × 7 shown as an array of 7 rows of 7. (b) Have you made some mathematical connections and conjectures in exploring this problem? In doing so you have hopefully felt a sense of accomplishment and e xcitement— one of the benefits of doing mathematics. Experimenting and Explaining 4. The Best Chance of Purple This is 7 × 7 as 7 sets of 7.
Explore with Tools. A tool is any object, picture, or drawing that can be used to explore a concept. CCSS-M incudes calculators and manipulatives as tools for doing mathematics (CCSSO, 2010). , buttons). Choices for manipulatives (including virtual manipulatives) abound—from common objects such as lima beans to commercially produced materials such as Pattern Blocks. 10 shows six examples, each representing a different concept, just to give a glimpse (Part II of this book is full of more options).
Elementary and Middle School Mathematics: Teaching Developmentally, Global Edition by John A. Van de Walle, Karen S. Karp, Jennifer M. Bay-Williams