What Are These Things Called Variables?

1983 ◽  
Vol 76 (7) ◽  
pp. 474-479
Author(s):  
Sigrid Wagner

We all know some of the problems that beginning algebra students have in working with literal symbols, or variables. Two articles in this journal (Herscovics and Kieran 1980; Rosnick 1981) have discussed certain difficulties related to variables and have offered suggestions for overcoming them.

2011 ◽  
Vol 104 (7) ◽  
pp. 526-530
Author(s):  
Holly S. Zullo

Card tricks based on mathematical principles can be a great way to get students interested in exploring some important mathematical ideas. Bonomo (2008) describes several variations of a card trick that rely on nested floor functions, but these generally go beyond the reach of beginning algebra students. However, a simple spreadsheet implementation shows students why the card trick works and allows them to explore several variations. As an added bonus, students are introduced to composite functions, the floor function, and iteration, and they learn how to use formulas and the INT function in Microsoft Excel. The depth of the mathematical explanation can be varied according to students' background.


2015 ◽  
Vol 108 (9) ◽  
pp. 656-661
Author(s):  
Jennifer Earles Szydlik

Three topics worthy of classroom discussions help beginning algebra students create meaning and build understanding as a community.


2003 ◽  
Vol 96 (2) ◽  
pp. 92-96
Author(s):  
Marjorie L. Lewkowicz

IN AN EFFORT TO HELP MY BEGINNING ALGEBRA STUDENTS further develop their conceptual understanding of variables, the language of algebra, and other important topics,


2009 ◽  
Vol 14 (7) ◽  
pp. 388-391
Author(s):  
Mary G. Goral

Are students able to work through a series of geometric spatial activities, discover a pattern, and find an algebraic function? Can they move from using spatial intelligence to number sense to algebraic reasoning? Are they able to connect geometric thinking and algebra, physical models, and numeric relationships? Friel, Rachlin, and Doyle (2001) state, “Explorations that develop from problems that can be solved by using tables, graphs, verbal descriptions, concrete or pictorial representations or algebraic symbols offer opportunities for students to build their understandings of mathematical functions” (p. v). Further, combining physical spatial activities with algebraic reasoning can better engage beginning algebra students in the task at hand. According to Jensen (2001), the kinesthetic arts can provide a significant vehicle that can enhance content-area learning.


1955 ◽  
Vol 48 (5) ◽  
pp. 360-365
Author(s):  
Beatrice Buzzetti

In the Bremerton school system only those eighth-grade students who receive an arithmetic grade of B or above and those recommended by their mathematics teachers are permitted to study algebra in the ninth grade. Since our senior high-school guidance department urges all students who hope to attend institutions of higher learning to elect beginning algebra sometime during their high-school career, Bremerton gets an older group but a slower group of first-year algebra students.


2021 ◽  
Vol 114 (4) ◽  
pp. 290-297
Author(s):  
Jon D. Davis

Design principles are used to construct and refine a technology-infused lesson for beginning algebra students learning about systems of linear inequalities.


2012 ◽  
Vol 105 (7) ◽  
pp. 549

This call for manuscripts requests articles that examine ways to teach the key mathematical concepts must learn in a beginning algebra course.


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