SERCC - Making Math Contextual, Visual and Concrete
2 likes588 views
The document discusses strategies for making math more engaging for students in grades 7-12. It notes that traditional math class focuses on procedures, examples, and homework, which can disengage students. The document advocates for a vision of math education that is contextual, visual, concrete and builds connections. It provides examples of using story problems and modeling to make math more relevant and understandable for students. The goal is to increase student engagement, confidence and success in math.
SERCC - Making Math Contextual, Visual and Concrete
- 1. Making Math Contextual, Visual, and Concrete in Grade 7-12 @MathletePearcewww.tapintoteenminds.com
- 2. @MathletePearcewww.tapintoteenminds.com Making Math Contextual, Visual, and Concrete in Grade 7-12
- 8. @MathletePearcewww.tapintoteenminds.com ENGAGEMENT “There are several types/categories of engagement – academic, cognitive, intellectual, institutional, emotional, behavioural, social, psychological, to name a few.” Parsons, J., & Taylor, L. (2011). Student Engagement: What do we know and what should we do? University Partners (pp 3). University of Alberta.
- 12. 1. Take Up Homework @MathletePearcewww.tapintoteenminds.com Math Class
- 13. @MathletePearcewww.tapintoteenminds.com 2. Definitions, Formulae, Procedures/Algorithms 1. Take Up Homework Math Class
- 14. @MathletePearcewww.tapintoteenminds.com 3. Examples 2. Definitions, Formulae, Procedures/Algorithms 1. Take Up Homework Math Class
- 15. @MathletePearcewww.tapintoteenminds.com 4. Homework 3. Examples 2. Definitions, Formulae, Procedures/Algorithms 1. Take Up Homework Math Class
- 18. Example 1 (a) List all combinations of three out of the four colours: red, blue, white, and green.
- 20. @MathletePearcewww.tapintoteenminds.com A Perception Develops Good at Math Poor at Math
- 21. @MathletePearcewww.tapintoteenminds.com Confident in Math Class Doubtful in Math Class Students Feel…
- 22. @MathletePearcewww.tapintoteenminds.com Enjoying Mathematics Disliking Mathematics This May Lead To…
- 23. @MathletePearcewww.tapintoteenminds.com Willingness to Engage In Math Class Unwillingness to Engage In Math Class This May Lead To…
- 24. @MathletePearcewww.tapintoteenminds.com Moving Ahead Falling Behind This May Lead To…
- 25. @MathletePearcewww.tapintoteenminds.com Two Groups of Students Good at Math Poor at Math
- 26. @MathletePearcewww.tapintoteenminds.com Two Groups of Students Good at Math Poor at Math
- 27. @MathletePearcewww.tapintoteenminds.com Two Groups of Students Good at Math Poor at Math
- 28. @MathletePearcewww.tapintoteenminds.com Two Groups of Students Struggle with unfamiliar problems Good at Math Poor at Math
- 33. @MathletePearcewww.tapintoteenminds.com Interconnected Visual and Concrete Contextual CONFIDENCE
- 34. @MathletePearcewww.tapintoteenminds.com Interconnected Visual and Concrete Contextual PERCEPTION
- 40. http://www.vancouversun.com/life/From+geek+chic/6296707/story.html Photograph by: Maggie Wong @MathletePearcewww.tapintoteenminds.com
- 47. what’s this?
- 57. Notice? Wonder?
- 58. How many packs of paper would it take to reach the ceiling? OUR FIRST QUESTION:
- 62. @MathletePearcewww.tapintoteenminds.com How many packs of paper will it take to reach a height of 273 cm? height 273cm 24.75cm
- 64. QUESTION @MathletePearcewww.tapintoteenminds.com Mr. Pearce stacks reams of paper vertically against a wall. If the height of 5 reams is 24.75 cm and the height of the room is 273 cm, how many reams of paper would he need to reach the ceiling?
- 65. QUESTION @MathletePearcewww.tapintoteenminds.com Mr. Pearce stacks reams of paper vertically against a wall. If the height of 5 reams is 24.75 cm and the height of the room is 273 cm, how many reams of paper would he need to reach the ceiling?FUN, RIGHT?
- 66. AnswerKey:55.15 QUESTION @MathletePearcewww.tapintoteenminds.com Mr. Pearce stacks reams of paper vertically against a wall. If the height of 5 reams is 24.75 cm and the height of the room is 273 cm, how many reams of paper would he need to reach the ceiling?
- 69. @MathletePearcewww.tapintoteenminds.com How many packs of paper will it take to reach a height of 273 cm? height 273cm 24.75cm
- 76. @MathletePearcewww.tapintoteenminds.com 275cm = 25cm 25cm Friendly Numbers 25 cm 25 cm Height 50 cm
- 77. @MathletePearcewww.tapintoteenminds.com 275cm = 25cm 25cm Friendly Numbers 25 cm 25 cm Height 25 cm 75 cm
- 78. @MathletePearcewww.tapintoteenminds.com 275cm = 25cm 25cm Friendly Numbers 25 cm 25 cm Height 25 cm 25 cm 100 cm
- 79. @MathletePearcewww.tapintoteenminds.com 275cm = 25cm 25cm Friendly Numbers 25 cm 25 cm Height 25 cm 25 cm 200 cm 25 cm 25 cm 25 cm 25 cm
- 80. @MathletePearcewww.tapintoteenminds.com 275cm = 25cm 25cm Friendly Numbers 100 cm Height 300 cm 100 cm 100 cm
- 81. @MathletePearcewww.tapintoteenminds.com 275cm = 25cm 25cm Friendly Numbers 100 cm Height 275 cm 100 cm 75 cm
- 82. @MathletePearcewww.tapintoteenminds.com 275cm = 25cm 25cm Friendly Numbers 100 cm Height 275 cm 100 cm 75 cm
- 85. @MathletePearcewww.tapintoteenminds.com 275cm = 25cm 25cm Friendly Numbers 5packs 11 groupsArea Model
- 86. @MathletePearcewww.tapintoteenminds.com 275cm = 25cm 25cm Friendly Numbers 5packs 11 groups 55 packs Area Model
- 87. 5packs 11 groups @MathletePearcewww.tapintoteenminds.com 275cm = 25cm 25cm Friendly Numbers 5packs 11 groups 55 packs 5packs 11 groups 55 packs Area Model
- 88. @MathletePearcewww.tapintoteenminds.com 275cm = 25cm 25cm Friendly Numbers 5packs 11 groups 55 packs 5packs 11 groups 55 packs 25cm 11 groups Area ModelDouble
- 89. @MathletePearcewww.tapintoteenminds.com 275cm = 25cm 25cm Friendly Numbers 5packs 11 groups 55 packs 5packs 11 groups 55 packs 25cm 11 groups 275 cm Area ModelDouble
- 91. Friendly Numbers Double Number Line 275cm 25cm 0 0
- 92. Friendly Numbers Double Number Line 275cm 25cm 0 0 Number of Packs Total Height
- 93. Friendly Numbers Double Number Line 275cm 25cm 0 0 5 25 Number of Packs Total Height
- 94. Friendly Numbers Double Number Line 275cm 25cm 0 0 5 25 50 10 Number of Packs Total Height
- 95. Friendly Numbers Double Number Line 275cm 25cm 0 0 5 25 50 10 75 15 250 50 Number of Packs Total Height 20 100 125 25 150 30 35 175 200 40 225 45 55 275
- 96. Friendly Numbers Double Number Line 275cm 25cm 0 0 5 25 50 10 Number of Packs Total Height
- 97. Friendly Numbers Double Number Line 275cm 25cm 0 0 5 25 50 10 Number of Packs Total Height 20 100
- 98. Friendly Numbers Double Number Line 275cm 25cm 0 0 5 25 50 10 Number of Packs Total Height 20 100 200 40
- 99. Friendly Numbers Double Number Line 275cm 25cm 0 0 5 25 50 10 Number of Packs Total Height 20 100 200 40 250 50 225 45 55 275
- 100. Friendly Numbers Double Number Line 275cm 25cm 0 0 5 25 50 10 Number of Packs Total Height 20 100 200 40 250 50 225 45 55 275275 5 25
- 101. Friendly Numbers Double Number Line 275cm 25cm 0 0 Number of Packs Total Height 275 x 275 5 25 5 25
- 102. Friendly Numbers Double Number Line 275cm 25cm 0 0 Number of Packs Total Height 275 x5 25 5 ?x 27525
- 103. Friendly Numbers Double Number Line 275cm 25cm 0 0 Number of Packs Total Height 275 x 275 5 25 5 25 ?x = 11111111
- 104. Friendly Numbers Double Number Line 275cm 25cm 0 0 Number of Packs Total Height 275 x 275 5 25 5 25 x = 1111 11 11
- 105. Friendly Numbers Double Number Line 275cm 25cm 0 0 Number of Packs Total Height 275 x 275 5 25 5 25 x = 11 11 11 x 11
- 106. Friendly Numbers Double Number Line 275cm 25cm 0 0 Number of Packs Total Height 275 x 275 5 25 5 25 x = 11 11 11 x 11x = 5555
- 107. Friendly Numbers Double Number Line 275cm 25cm 0 0 Number of Packs Total Height 275 275 5 25 5 25 x = 11 11 11 x 11x = 55 55
- 108. How many packs of paper would it take to reach the ceiling? @MathletePearcewww.tapintoteenminds.com How many packs of paper will it take to reach a height of 273 cm? packs of paper height 273cm 4.95 cm
- 109. How many packs of paper would it take to reach the ceiling? @MathletePearcewww.tapintoteenminds.com How many packs of paper will it take to reach a height of 273 cm? packs of paper height 273cm 4.95 cm
- 110. @MathletePearcewww.tapintoteenminds.com packs of paper height Independent Dependent 273cm 4.95 cm
- 111. @MathletePearcewww.tapintoteenminds.com 0 0 packs of paper height Independent Dependent
- 112. @MathletePearcewww.tapintoteenminds.com 0 0 1 4.95 packs of paper height Independent Dependent
- 113. @MathletePearcewww.tapintoteenminds.com 0 0 1 4.95 2 9.9 packs of paper height Independent Dependent
- 114. @MathletePearcewww.tapintoteenminds.com 0 0 1 4.95 2 9.9 packs of paper height Independent Dependent 4 19.8
- 115. @MathletePearcewww.tapintoteenminds.com 0 0 1 4.95 2 9.9 packs of paper height Independent Dependent 4 19.8 40 198
- 116. @MathletePearcewww.tapintoteenminds.com 0 0 1 4.95 2 9.9 packs of paper height Independent Dependent 4 19.8 40 198
- 119. @MathletePearcewww.tapintoteenminds.com packs of paper height 24.75 cm 5 reams =
- 120. @MathletePearcewww.tapintoteenminds.com 24.75 cm 5 reams = 273 cm How Many?
- 121. @MathletePearcewww.tapintoteenminds.com 5 reams = x 24.75 cm 273 cm x ??
- 122. @MathletePearcewww.tapintoteenminds.com 5 reams = x 24.75 cm 273 cm x ??
- 124. @MathletePearcewww.tapintoteenminds.com 5 reams = x24.75 cm 273 cm x ?? 11.03
- 125. @MathletePearcewww.tapintoteenminds.com 24.75 cm 5 reams = 273 cm 11.03x x
- 126. @MathletePearcewww.tapintoteenminds.com 24.75 cm 5 reams = 273 cm 55.15 reams 11.03 x 11.03 x
- 128. Visual and Concrete Contextual TASKS INQUIRY Construct Conceptual Understanding VISION @MathletePearcewww.tapintoteenminds.com
- 129. Connect to Prior Knowledge Visual and Concrete Contextual TASKS CONNECTIONS INQUIRY Construct Conceptual Understanding VISION @MathletePearcewww.tapintoteenminds.com
- 130. Visual and Concrete Contextual TASKS CONSOLIDATE INQUIRY Move Towards Procedural Fluency Connect to Prior Knowledge CONNECTIONS Construct Conceptual Understanding VISION @MathletePearcewww.tapintoteenminds.com
- 132. 3 Act Math Tasks iTunes U kylep.ca/curiousmath1p @MathletePearcewww.tapintoteenminds.com
- 136. 3 Act Math Tasks tapintoteenminds.com/3act-math @MathletePearcewww.tapintoteenminds.com fishing4tech.com/mtbos.html
- 137. @MathletePearcewww.tapintoteenminds.com The CN Tower has a height of 553 m and your stack of 5 packages of paper have a height of approximately 0.25 m. Approximately how many packages of paper would you need to stack up to the height of the CN Tower? 24.75cm
- 138. Concreteness Fading
- 143. Concreteness Fading 1 2 3 Enactive Concrete Iconic Visual Symbolic
- 144. Concreteness Fading 1 2 3 Enactive Concrete Iconic Visual Symbolic Abstract
- 145. Concreteness Fading 1 2 3Enactive Concrete Iconic Visual Symbolic Abstract
- 146. Concreteness Fading 1 2 3Enactive Concrete Iconic Visual Symbolic Abstract
- 147. Concreteness Fading 1 2 3Enactive Concrete Iconic Visual Symbolic Abstract
- 148. Concreteness Fading 1 2 3Enactive Concrete Iconic Visual Symbolic Abstract 2 2x 2 6 1 044 21 3 + 275
- 149. Making Math Contextual, Visual, and Concrete @MathletePearcewww.tapintoteenminds.com