The Representational Value of Hats

2008 ◽  
Vol 14 (1) ◽  
pp. 4-10
Author(s):  
Jane M. Watson ◽  
Noleine E. Fitzallen ◽  
Karen G. Wilson ◽  
Julie F. Creed

The literature that is available on the topic of representations in mathematics is vast. One commonly discussed item is graphical representations. From the history of mathematics to modern uses of technology, a variety of graphical forms are available for middle school students to use to represent mathematical ideas. The ideas range from algebraic relationships to summaries of data sets. Traditionally, textbooks delineate the rules to be followed in creating conventional graphical forms, and software offers alternatives for attractive presentations. Is there anything new to introduce in the way of graphical representations for middle school students?

Author(s):  
Fitriah Hanim ◽  
Djono Djono ◽  
Susanto Susanto

<p><em>History learning in Senior High Schools and Vocational High Schools is carried out almost the same, both obtaining mandatory history with the aim of studying the history of the nation. Meanwhile, studying history in Senior High Schools contains additional material for the history of specialization. The existence of differences in environment, meaning and purpose makes students less interested and meaningful in learning which results in history learning running less optimally. For this reason, this paper aims to make historical learning relevant to the learning field of Vocational Middle School students, one of which is by utilizing local material in areas close to the environment and even the vocational school. One of them is the use of local materials for the Cepu Oil and Gas Vocational Middle School students, namely the history of Dutch oil exploration in Cepu. This study uses a literature study research method, the authors use a humanistic approach to analyze the relevance of learning materials to the learning environment and the interests or vocational of students. The focus of this research is on discussing history learning in Vocational High Schools and the use of historical material on Dutch oil exploration in Cepu as a learning resource. So that studying history will be relevant and meaningful in accordance with the vocational.</em></p>


Author(s):  
Brandon Grossman ◽  
Donna Farland-Smith

The purpose of this research was to assess the impact of virtual, discussion-based interactions with five scientists on middle school students' (N=48) perceptions of scientists. Based on students' self-reflections and results from Enhanced-Drawings of Scientists Test (E-DAST), the week of virtual discussion-based interactions broadened students' perceptions of what scientists do (activity), where scientists work (location), and what scientists look like (appearance). The virtual discussion-based experiences had the most significant impact on middle school students' perceptions of the work scientists do (activity). As this important finding demonstrates—through middle school students' own words—students' perceptions of the appearance and location of scientists may be ‘gatekeepers' or secondary to the their ideas of what scientists do for activities. In other words, until students can ‘get past' or debunk the stereotype of what scientists look like (appearance) and where they work (location), students may not truly understand the work scientists do (activity).


1991 ◽  
Vol 38 (6) ◽  
pp. 22-23
Author(s):  
Carol A. Thornton

As part of a continuing effort in data analysis, Mr. Denis presented a ride-to-the-park graph (fig. 1) to his middle school students and checked their understanding of the way the data were entered. “What do the numbers across the bottom of the graph tell us about Alba's ride? What about those in the left-hand column? [Pointing to (9, 6)] This point is not above any number. What does it represent?”


2021 ◽  
Vol 13 (9) ◽  
pp. 223
Author(s):  
Jen Eden ◽  
Anthony J. Roberto

This manuscript examined the role trait verbal aggression plays in cyberbullying victimization and perpetration in adolescence. More than 400 middle school students (46.8% males and 52.2% females) completed a questionnaire on trait verbal aggression and their history of cyberbullying perpetration and victimization. Linear regression analyses revealed that trait verbal aggression was a statistically significant predictor of both cyberbullying perpetration and victimization, that cyberbullying perpetration and cyberbullying victimization are related, and that cyberbullying perpetration appears to increase with age, while cyberbullying victimization does not. Ideas and implications for future applications of verbal aggression and cyberbullying are discussed.


Author(s):  
Jane Watson

This chapter focuses on statistical literacy and the practice of statistics from the perspective of middle school students and how their experiences can be enhanced by the availability of open data. The open data sets selected illustrate the types of contexts that are available and their connections to the Australian school curriculum. The importance of visualisation is stressed and the software TinkerPlots is the tool used for students to create representations and develop the understanding necessary to analyse data and draw conclusions. Building appreciation of the practice of statistics in this way further assists students to become critical thinkers in judging the claims of others later as statistically literate adults.


2005 ◽  
Vol 10 (8) ◽  
pp. 386-393
Author(s):  
Jennifer M. Bay-Williams

Through Brilliant, Clever Poems and prose, Shel Silverstein has worked his way into many classrooms and into the hearts of students and teachers. He wrote poems with an obvious knowledge that a child's mind is active and curious, and middle school students love reading and listening to his words. Imbedded in many of his poems and prose are opportunities to do mathematics in ways that will get students' minds “flickerin'.” Using a poem, picture book, or portions of a novel can raise the curiosity of middle school students and can increase their desire to solve mathematics problems. As students engage in solving literature-based mathematics lessons, they are applying mathematics in different contexts and making connections among mathematical ideas, which are expectations outlined in the Connections Standard in Principles and Standards for School Mathematics (NCTM 2000). In the following sections, four delightful Silverstein works prompted engaging mathematics explorations. Each selection focused on a different mathematical strand, although there is much integration of other concepts in the problems.


2007 ◽  
Vol 12 (9) ◽  
pp. 516-517
Author(s):  
Tara Windle

Students enjoy the chance to be creative, especially those in the middle grades. Teachers can channel that creative energy into an authentic assessment tool that students will love. Principles and Standards for School Mathematics states that students in middle school are expected to “apply transformations and use symmetry to analyze mathematical situations” (p. 232). Our students have also been challenged to “recognize and apply mathematics in contexts outside of mathematics” (p. 274) and to “create and use representations to organize, record, and communicate mathematical ideas” (p. 280). Using card-stock paper, glue, gold spray paint (optional), and as many varieties of pasta as I could find, I gave my sixthgrade middle school students the opportunity to convince me that they understood the concepts of reflectional and/or rotational symmetry while creating a unique piece of art.


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