1. Child Development Theories By Jessica Rodriguez

2. Biological-Maturational Theory… Focuses on genetic and physiological changes as the key factors in the body’s changes. Changes in the body, like brain development and motor development occur automatically; in fact, they occur without learning or instruction. –For example, these theorists would attribute learning to walk as a natural cause of changes in our physiological development and brain development. (Swim, 2008)

3. Behaviorist Theory… Attributes learning to outside influences. For example, B.F. Skinner, the leading behaviorist theorist, points out that learning can be induced by offering rewards and punishments. Learning is largely shaped by external forces. The more a behavior is reinforced, the stronger the behavior will become. (Swim, 2008)

4. Cognitive Developmental Theory… Children’s thinking and reasoning (their cognitive development) changes progressively over time in predictable stages. Children play a key role in their own cognitive development by actively constructing meaning from their experiences. Biological factors also influence children’s cognitive development. –For example, we would not expect a toddler to predict the next event in a story because their brain is not biologically developed enough for that type of cognition.

5. Sociocultural Theory… Learning is largely a social endeavor. Children construct knowledge through their social experiences: culture and social experiences shape cognitive development by determining how and what the child will learn about the world. Biological influences take a “back seat” to the role of social interaction in children’s cognitive development.

6. Teaching All Children to Learn…

7. Question: Who are “all children” and why do you think the author felt the need to make this point?

8. Question: What do you see as some of the challenges to “teaching all children mathematics?”

9. Potential Challenges Different math abilities and learning styles in the class Lack of resources (manipulatives, visuals, etc.) Negative math attitudes Lack of confidence in math

10. Question: What are some strategies for modifying instruction for our diverse learners?

11. Working with Students with Learning Disabilities…

12. Perceptual Deficits Students with perceptual deficits confuse input in one way or another. It is particularly important to capitalize on their strengths (Van De Walle, 2007).

13. Case Study… Alison (pseudonym) has a visual perceptual deficit. With this learning disability, visual input is confused. You notice that Alison becomes very confused with new visual input or complex visual displays. You notice she is overwhelmed by the problems in her math book and struggles to complete even one of them. She enjoys working with peers and is strong in listening and speaking activities. Given this information, what recommendations would you suggest for the teacher/para working with Alison?

14. Strategies for Perceptual Deficits… Seat near teacher or chalkboard Keep workspace clear of distractions Repeat main ideas Show one example at a time Maintain an environment in which only one child talks at a time during instruction Speak clearly Include ways of organizing work Use a tape recorder with instruction explaining things that may be difficult to understand Use hands-on models Make sure the student has a buddy to help (Van De Walle, 2007)

15. Memory Deficits Students with memory deficits have difficult retaining information either in their short term memory or long term memory (Van De Walle, 2007).

16. Case Study Matthew has long-term memory deficits. While he does well in his math lessons, he struggles to recall the information after a day or two. Given this information, what recommendations would you suggest for the teacher/para working with Matthew?

17. Strategies for Memory Deficits… Provide one instruction at a time Have students repeat instructions in their own words Write instructions on the board When working on oral problems, allow students to write as well Use strategies and number relations to help children recall basic facts Allow children to use a calculator Frequently provide brief reviews of information (Van De Walle, 2007)

18. Integrative Deficits Students with integrative deficits have difficulty understanding abstract ideas and conceptualization (Van De Walle, 2007).

19. Case Study Sylvia has an integrative deficit. She is able to memorize math facts and algorithms. But, she has difficulty understanding the math concepts and applying the math concepts to real situations. You notice she demonstrates a stronger understanding when the concepts are connected to her experiences. Given this information, what recommendations would you suggest for the teacher/para working with Sylvia?

20. Strategies for Integrative Deficits… Use familiar models for extended periods of time Have students explain ideas using words, pictures, and numbers Require students to make explanations in order to help the students make connections Provide repetition and practice of new concepts; Have students restate word problems in their own words Provide students the opportunity to teach a concept to another student Use many representations—words, symbols, drawings, manipulatives, etc. (Van De Walle, 2007)

21. Attention Deficits Students with attention deficits have difficulty with attention span, impulse control, and in some cases, hyperactivity (Van De Walle, 2007).

22. Case Study Joshua is a student who has an attention deficit. You notice that Joshua has difficulty concentrating for long periods of time. His attention span is brief. He struggles to complete assignments due to frequent distractions. Given this information, what recommendations would you suggest for the teacher/para working with Joshua?

23. Strategies for Attention Deficits… Establish predictable routines and clear expectations Make sure the learning activities provide students the opportunity to be active Plan independent work in an environment that is free from distractions Use highlighters to alert children to important ideas Keep assignments and lists short Assign buddies and encourage both to stay on task Keep cooperative groups small—partner grouping is usually recommended (Van De Walle, 2007)

24. Great Web Resources for Diverse Learners… LD Online: http://ldonline.org/index.php http://ldonline.org/index.php Gifted Students: http://www.hoagiesgifted.org/math_ gifted.htm http://www.hoagiesgifted.org/math_ gifted.htm Multiculturalism: http://sln.fi.edu/school/math3/

25. Math Quiz Prep…

26. Fractions… Numerator… the top number in the fraction. Tells how many parts of the whole. ►►►►► 3/5 of the triangles are green Denominator… the bottom number in the fraction. Tells how many parts make up the whole. ►►►►► There are five triangles in this set. 2/5 are black.

27. Fractions… The larger the denominator, the smaller the fraction. Example: 1/8 is less than 1/4. If you cut a cake into 8 pieces, the pieces will be smaller than if you cut a cake into 4 pieces. Order these fractions from least to greatest… 1/8, 1/2, 1/3.

28. Multiple Operations “Please Excuse My Dear Aunt Sally!” Parentheses Exponents Multiplication Division Addition Subtraction In the problem 5 x 6 + 18 + 9 – 8 = ?, which operation do you choose first?

29. Solving for Variables… Solve for x in the equation… 2x + 2 = 12 - 2 = - 2 2x = 10 2 2 x = 5 1.Subtract 2 from both sides of the equal sign. You will have 2x = 10. 2. Divide both sides of the equal sign by 2. You will find that x equals 5.

30. Place Value… Thousands Hundreds Tens Ones Decimal Point Tenths Hundredths Thousandths… Which digit is in the hundredths place…517.89?