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Garofalo, Joe; Cory, Beth – NCSSSMST Journal, 2007
Mathematical knowledge can be categorized in different ways. One commonly used way is to distinguish between procedural mathematical knowledge and conceptual mathematical knowledge. Procedural knowledge of mathematics refers to formal language, symbols, algorithms, and rules. Conceptual knowledge is essential for meaningful understanding of…
Descriptors: Mathematics Education, Symbols (Mathematics), Mathematical Applications, Mathematics Instruction

Garofalo, Joe; Summers, Tim – School Science and Mathematics, 2004
Macromedia Flash is a powerful and robust development tool. Because of its graphical, sound, and animation capabilities (and ubiquitous browser plug-in), major companies employ it in their website development (see www.nike.com or www.espn.com). These same features also make Flash a valuable environment for building multi-representational "movies"…
Descriptors: Teaching Methods, Educational Technology, Internet, Mathematics Education
Garofalo, Joe; Juersivich, Nicole – NCSSSMST Journal, 2007
There is much research that documents what many teachers know, that students struggle with many concepts in probability and statistics. This article presents two sample activities the authors use to help preservice teachers develop ideas about how they can use technology to promote their students' ability to understand mathematics and connect…
Descriptors: Preservice Teachers, Statistical Inference, Sampling, Probability