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Subject:
Education
Type:
Essay
Language:
English (U.K.)
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Topic:

Addressing misconceptions in a topic of teaching - Directed and Negative Numbers

Essay Instructions:
Literature Review; These are the questions I want you to answer after doing some reading from the required readings. Each question only needs 1-2 sentences. What is the misconception/issue you want to address? What evidence do you have which explains this is an issue? What do you think might be causing this misconception/issue? Main focus: What have you read so far that has helped you understand the misconception/issue? What are the common trends appearing across what you’ve read? What are the differences appearing across what you’ve read? What does the literature suggest you do to improve your practice? What are the next steps in your reading? Key reading: - Swan M Dealing with Misconceptions in mathematics in Issues in Teaching mathematics (2001) Peter Gates (Ed) - MUST READ AND DISCUSS THIS ONE - A good starting point for this reading is the NCETM website which includes discussions of misconceptions in many key topic areas. - Key research literature should draw on a range of peer reviewed research including academic and government/policy related research, as well as research from key networks and organisations. -Critically discuss what the research suggests about how a teacher might plan, teach and sequence learning episodes in order to address the misconception outlined in your introduction. - Key reading: Jeremy Hodgen and Dylan Wiliam (2006) Mathematics inside the black box This short but dense booklet contains a great many strategies for formative assessment https://danhaesler(dot)com/wp-content/uploads/2017/02/Inside-the-Black-Box-Mathematics.pdf The reading list is in the last pages of the attached document. The attached document is the entire essay, but I just want a focused literature review part from you. I also only need a draft propsal at the moment, so not a full lit review but more focused on answering the questions.
Essay Sample Content Preview:
Directed and Negative Numbers Your Name Course and Section Professor’s name November 4, 2024 Misconception/Issue to Address In this survey, the concern is on the general difficulties that negative numbers cause students, especially in subtraction and multiplication. Some studies have indicated that students enter negative numbers with a negative or even oppositional attitude for two main reasons: perceived unfamiliarity and perceived difficulty. This resistance is because people tend to think that negative numbers are less real or natural than positive numbers, which leads to confusion about the use and arithmetic of the negatives. For example, students have problems with subtracting a negative number from a positive number and multiplying two negatives to give a positive result. This confusion and negative perception tend to make students approach negative numbers as problems that have to be solved rather than something perfectly normal within the mathematical world. Evidence of This Issue Swan (2001) has found out that signs are often applied wrongfully by students, commonly using negative signs when they should not or failing to use them when they should. This pattern[first picture] indicates that many students do not possess any framework about how negative numbers function. Possible Causes of the Misconception It is most probably due to a lack of proper real-life problems and a focus on the computational algorithms that do not promote understanding of the concepts in...
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