How to Clarify & Correct Common Misconceptions by Shannon Healey https://padlet.com/shealey4/understanding_OA_K_8 Operations & Algebraic Thinking Grades K-8 en-us 2019-04-22 15:24:56 UTC 2025-11-07 02:35:13 UTC hello@padlet.com https://imgglb.padletcdn.com/v13/image?t=g_auto&url=https%3A%2F%2Fpadlet.net%2Ficons%2Fpng%2F1f587.png Kindergarten shealey4 https://padlet.com/shealey4/understanding_OA_K_8/wish/353089788 What is the significance of addition "+" and subtraction "-"?CCSS.MATH.CONTENT.K.OA.A.1
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]]> 2019-04-22 15:43:41 UTC https://padlet.com/shealey4/understanding_OA_K_8/wish/353089788 Kindergarten Misconception shealey4 https://padlet.com/shealey4/understanding_OA_K_8/wish/353101836 Students often times confuse the symbols for addition and subtraction while also "thinking addition means 'join together' and subtraction means 'take away'" (ASCD, 2011, p.9). 

NLVM applet: (Use  Internet Explorer)http://nlvm.usu.edu/en/nav/frames_asid_154_g_1_t_1.html?from=category_g_1_t_1.html]]> 2019-04-22 16:20:13 UTC https://padlet.com/shealey4/understanding_OA_K_8/wish/353101836 References: shealey4 https://padlet.com/shealey4/understanding_OA_K_8/wish/353133439 Kindergarten:
Algebraic Thinking. Retrieved from  http://www.corestandards.org/Math/Content/OA/

Association for Supervision and Curriculum Development. (2011). 
 
Base Blocks Addition. (n.d.). Retrieved from http://nlvm.usu.edu/en/nav/frames_asid_154_g_1_t_1.html?from=category_g_1_t_1.html
 
National Governors Association Center for Best Practices, & Council of Chief State School          
Officers. (2011). Common Core State Standards for mathematics: Operations &    
 
1st Grade:
Addition Scale Math Game | 1st Grade Math Games | Toy Theater. (2018, February 23). Retrieved from http://toytheater.com/addition-scale/

Carpenter, T. P. (2012). Thinking mathematically: Integrating arithmetic and algebra in elementary school.             Portsmouth, NH: Heinemann.

2nd Grade:
Education.com. (2016, January 09). Adding Worms: Two-Digit Addition Game | Game. Retrieved from https://www.education.com/game/adding-worms-cuzcuz/

3rd Grade:
Thinking Blocks Modeling Tool. (n.d.). Retrieved from https://www.mathplayground.com/ThinkingBlocks/modeling_tool.html

4th Grade:
Education.com. (2019, February 14). Multi-Digit Multiplication Word Problem Math Game | Game. Retrieved from https://www.education.com/game/pool-creation-math-problems/

5th Grade:
Pan Balance – Numbers. (n.d.). Retrieved from https://www.nctm.org/Classroom-Resources/Illuminations/Interactives/Pan-Balance----Numbers/

6th Grade:
Algebra Tiles. (n.d.). Retrieved from https://www.nctm.org/Classroom-Resources/Illuminations/Interactives/Algebra-Tiles/

7th Grade:
Algebra Tiles. (n.d.). Retrieved from http://nlvm.usu.edu/en/nav/frames_asid_189_g_3_t_2.html?open=activities&from=category_g_3_t_2.html

8th Grade:
Dun, S. (n.d.). Retrieved from http://funbasedlearning.com/algebra/graphing/lines/default.htm

]]> 2019-04-22 17:50:13 UTC https://padlet.com/shealey4/understanding_OA_K_8/wish/353133439 1st Grade shealey4 https://padlet.com/shealey4/understanding_OA_K_8/wish/353135215 What does the equal sign really mean?
CCSS.MATH.CONTENT.1.OA.D.7
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CCSS.MATH.CONTENT.1.OA.A.1]]> 2019-04-22 17:55:49 UTC https://padlet.com/shealey4/understanding_OA_K_8/wish/353135215 1st Grade Misconception shealey4 https://padlet.com/shealey4/understanding_OA_K_8/wish/353142265 Students frequently misunderstand the meaning of equality.  Carpenter found the misconception of equality to "limit students' ability to learn basic arithmetic ideas" (Carpenter, 2012, p. 9).

Addition Scale Math Game

]]> 2019-04-22 18:18:00 UTC https://padlet.com/shealey4/understanding_OA_K_8/wish/353142265 2nd Grade shealey4 https://padlet.com/shealey4/understanding_OA_K_8/wish/353162646 Why do we focus so much on identifying "key words" when the words can have different meanings?
CCSS.MATH.CONTENT.2.OA.A.1
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CCSS.MATH.CONTENT.2.OA.C.3]]> 2019-04-22 19:26:42 UTC https://padlet.com/shealey4/understanding_OA_K_8/wish/353162646 2nd Grade Misconception shealey4 https://padlet.com/shealey4/understanding_OA_K_8/wish/353163928 Students rely on "Key Words'' which do not always lead to a correct solution.  For example:  Kendra took the 28 stickers she no longer wanted and gave them to Juan.  Now Kendra has 19 stickers left.  How many stickers did Kendra have to begin with?
 ]]> 2019-04-22 19:31:40 UTC https://padlet.com/shealey4/understanding_OA_K_8/wish/353163928 3rd Grade shealey4 https://padlet.com/shealey4/understanding_OA_K_8/wish/353174396 Does the order the numbers are written in a multiplication sentence mean they MUST be  multiplied in the order they are listed?

CCSS.MATH.CONTENT.3.OA.B.5
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CCSS.MATH.CONTENT.3.OA.A.3]]> 2019-04-22 20:19:41 UTC https://padlet.com/shealey4/understanding_OA_K_8/wish/353174396 3rd Grade Misconception shealey4 https://padlet.com/shealey4/understanding_OA_K_8/wish/353178553 A common misconception in third grade is multiplying numbers in the order they are listed.  

Thinking Blocks:]]> 2019-04-22 20:40:52 UTC https://padlet.com/shealey4/understanding_OA_K_8/wish/353178553 4th Grade shealey4 https://padlet.com/shealey4/understanding_OA_K_8/wish/353180431 How can multiplying factors become more concrete and meaningful?
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]]> 2019-04-22 20:51:21 UTC https://padlet.com/shealey4/understanding_OA_K_8/wish/353180431 4th Grade Misconception shealey4 https://padlet.com/shealey4/understanding_OA_K_8/wish/353183356 Generalizations and a lack of concrete representations lead to misconceptions in students' algebraic reasoning foundation.
https://www.education.com/game/pool-creation-math-problems/]]> 2019-04-22 21:08:01 UTC https://padlet.com/shealey4/understanding_OA_K_8/wish/353183356 5th Grade shealey4 https://padlet.com/shealey4/understanding_OA_K_8/wish/353192049 How can abstract concepts be made into more concrete, tangible understanding?
CCSS.MATH.CONTENT.5.OA.A.1
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]]> 2019-04-22 22:12:58 UTC https://padlet.com/shealey4/understanding_OA_K_8/wish/353192049 5th Grade Misconception shealey4 https://padlet.com/shealey4/understanding_OA_K_8/wish/353193262 Memorization of "rules without without reasons" leads to instrumental understanding (Skemp, 1976, p.2).

NCTM Illumination applet:
https://www.nctm.org/Classroom-Resources/Illuminations/Interactives/Pan-Balance----Numbers/]]> 2019-04-22 22:26:01 UTC https://padlet.com/shealey4/understanding_OA_K_8/wish/353193262 6th Grade shealey4 https://padlet.com/shealey4/understanding_OA_K_8/wish/353198122 What is the purpose of a variable and how do I evaluate an expression with a variable in it?
CCSS.MATH.CONTENT.6.EE.A.2
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]]> 2019-04-22 23:09:03 UTC https://padlet.com/shealey4/understanding_OA_K_8/wish/353198122 6th Grade Misconception shealey4 https://padlet.com/shealey4/understanding_OA_K_8/wish/353198176 Applying conceptual understanding of equality to evaluating expressions with variables.

NCTM Illumination applet:
https://www.nctm.org/Classroom-Resources/Illuminations/Interactives/Algebra-Tiles/]]> 2019-04-22 23:09:28 UTC https://padlet.com/shealey4/understanding_OA_K_8/wish/353198176 7th Grade shealey4 https://padlet.com/shealey4/understanding_OA_K_8/wish/353198214 When multiplying expressions, what does it mean to combine like terms?
CCSS.MATH.CONTENT.7.EE.A.1
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CCSS.MATH.CONTENT.7.EE.B.4]]> 2019-04-22 23:09:49 UTC https://padlet.com/shealey4/understanding_OA_K_8/wish/353198214 7th Grade Misconception shealey4 https://padlet.com/shealey4/understanding_OA_K_8/wish/353198237 Combining like terms when multiplying expressions.
 NLVM applet:
http://nlvm.usu.edu/en/nav/frames_asid_189_g_3_t_2.html?open=activities&from=category_g_3_t_2.html

]]> 2019-04-22 23:10:05 UTC https://padlet.com/shealey4/understanding_OA_K_8/wish/353198237 8th Grade shealey4 https://padlet.com/shealey4/understanding_OA_K_8/wish/353198270 What does the "m" represent in the linear equations y= mx + b? how do you get a vertical line and horizontal line on a graph?
CCSS.MATH.CONTENT.8.EE.A.1
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CCSS.MATH.CONTENT.8.EE.C.7]]> 2019-04-22 23:10:22 UTC https://padlet.com/shealey4/understanding_OA_K_8/wish/353198270 8th Grade Misconception shealey4 https://padlet.com/shealey4/understanding_OA_K_8/wish/353198301 Another misconception of students occurs when either the slope or the y-intercept is zero.  First of all, if the slope is zero, students don’t know whether the line is a vertical line, a horizontal line, or a line that you cannot draw.  http://funbasedlearning.com/algebra/graphing/lines/default.htm]]> 2019-04-22 23:10:40 UTC https://padlet.com/shealey4/understanding_OA_K_8/wish/353198301 Reflection shealey4 https://padlet.com/shealey4/understanding_OA_K_8/wish/353215811 How do these applets and interactive games relate to Universal Design for Learning?  Many times within our classrooms we have students with mixed abilities so differentiated instruction is necessary for student success.  Keeping this notion of accessibility in mind, one of the most frustrating elements found in many interactives is a timer or time constraint.  The applets and interactive games included in this Padlet assignment do not have time constraints which I think is beneficial in assessing students’ conceptual understanding since it lessens the pressure placed upon students to answer accurately in an allotted amount of time which can cause students to rush, misread, and make mistakes.

]]> 2019-04-23 01:18:21 UTC https://padlet.com/shealey4/understanding_OA_K_8/wish/353215811