Exhibiting Connections between Algebra and Geometry

1991 ◽  
Vol 84 (9) ◽  
pp. 703-705
Author(s):  
David R. Laing ◽  
Arthur T. White
Keyword(s):  
Secondary School ◽  
Mathematics Classroom ◽  
School Mathematics ◽  
Evaluation Standards ◽  
Secondary School Mathematics ◽  
Mathematical Ideas

NCTM's Curriculum and Evaluation Standards for School Mathematics (1989, 81) encourages the exploration of interconnections among mathematical ideas and the development of an appreciation of “the pervasive use and power of reasoning as a part of mathematics.” This article exhibits some connections between algebra and geometry and presents deductive arguments appropriate for the secondary school mathematics classroom.

Implementing the Curriculum and Evaluation Standards: First-Year Algebra

1991 ◽  
Vol 84 (9) ◽  
pp. 715-722
Author(s):  
Judith Kysh
Keyword(s):  
Secondary School ◽  
Mathematics Teachers ◽  
School Mathematics ◽  
First Year ◽  
Evaluation Standards ◽  
Secondary School Mathematics

Fans of Dr. Doolittle may recall his famous fictional beast, the Push-Me-Pull-You. It had heads at both ends but never knew which way to go. Many secondary school mathematics teachers feel as though they are trying to ride one of these creatures when they examine the NCTM's Curriculum and Evaluation Standards (1989) and then turn around to consider the institutional demands of their schools and local universities.

scholarly journals Exploring probability concepts in a game context

2021 ◽  
Vol 21 (1) ◽  
pp. 59-70
Author(s):  
Sashi Sharma ◽  
Shweta Sharma ◽  
Phil Doyle ◽  
Louis Marcelo ◽  
Daniel Kumar
Keyword(s):  
Data Collection ◽  
Secondary School ◽  
Culturally Diverse ◽  
Mathematics Classroom ◽  
School Mathematics ◽  
Secondary School Mathematics ◽  
Theoretical Probability ◽  
Data Collection And Analysis ◽  
Hands On ◽  
Game Context

Learning about probability can pose difficulties for students at all levels. Performing probability experiments using games can encourage students to develop understandings of probability grounded in real events. In this reflective paper, we explore the thinking of a group of students and teachers as they reasoned about experimental and theoretical probabilities in a game context. We designed a probability lesson based on the game LuLu (McCoy et al., 2007). In this article we share the activity and describe the kinds of explorations that can be facilitated in any secondary school mathematics classroom. We were particularly interested in investigating whether students could construct a bi-directional link between experimental probability and theoretical probability. Overall, the lesson enabled students to gain hands-on experience in data collection and analysis and better comprehend affordances of culturally diverse games.

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