Logo and the Closed-Path Theorem

1986 ◽  
Vol 79 (4) ◽  
pp. 250-255
Author(s):  
Alton T. Olson
Keyword(s):  
Mathematics Teachers ◽  
Real World ◽  
General Level ◽  
Closed Path ◽  
The Real ◽  
Level Of Knowledge

Mathematics teachers and educators are in agreement that additional geometric experiences are necessary if we are going to improve students' general level of knowledge in geometry. Though we usually think of geometric experiences taking place in the real world, that isn't necessarily a requirement. We can simulate geometric microworlds very well by using a microcomputer and appropriate software. This article describes a program written in Apple Logo that can be used to explore a number of such microworlds.

Integrating Mathematics and Social Issues

2007 ◽  
Vol 13 (5) ◽  
pp. 270-276
Author(s):  
Gregory K. Harrell
Keyword(s):  
Middle School ◽  
Middle School Students ◽  
Mathematics Teachers ◽  
Real World ◽  
Local Community ◽  
Social Issues ◽  
School Students ◽  
The Real ◽  
Community Issues ◽  
Principles And Standards

The Connections Standard in grades 6–8 in Principles and Standards for School Mathematics recommends that middle school students “recognize and apply mathematics in contexts outside of mathematics” (NCTM 2000, p. 274). This goal can be reached by providing students with rich problem contexts that involve connections to the real world (NCTM 2000). To find such contexts, mathematics teachers can look to the local community, because our culture influences the mathematics we do and influences the issues that are important to us. If teachers present students with interdisciplinary experiences within the context of local community issues, students will understand the usefulness of mathematics and it will help them develop the skills and knowledge necessary to become active participants in their communities (Zaslavsky 1996).

scholarly journals Teaching mathematical modelling: a framework to support teachers’ choice of resources

2019 ◽  
Vol 39 (2) ◽  
pp. 127-144
Author(s):  
Peter K Dunn ◽  
Margaret F Marshman
Keyword(s):  
Mathematical Modelling ◽  
Mathematical Models ◽  
Mathematics Teachers ◽  
Real World ◽  
Real Data ◽  
Model Structure ◽  
The Real ◽  
Using Data ◽  
Do So ◽  
Poor Practice

AbstractMathematics teachers are often keen to find ways of connecting mathematics with the real world. One way to do so is to teach mathematical modelling using real data. Mathematical models have two components: a model structure and parameters within that structure. Real data can be used in one of two ways for each component: (a) to validate what theory or context suggests or (b) to estimate from the data. It is crucial to understand the following: the implications of using data in these different ways, the differences between them, the implications for teaching and how this can influence students’ perceptions of the real-world relevance of mathematics. Inappropriately validating or estimating with data may unintentionally promote poor practice and (paradoxically) reinforce in students the incorrect idea that mathematics has no relevance to the real world. We recommend that teachers approach mathematical modelling through mathematizing the context. We suggest a framework to support teachers’ choice of modelling activities and demonstrate these using examples.

scholarly journals Can mathematical modelling work as a creativity-demanding activity? An empirical study in China

ZDM ◽  
2021 ◽  
Author(s):  
Xiaoli Lu ◽  
Gabriele Kaiser
Keyword(s):  
Mathematical Modelling ◽  
Mathematics Teachers ◽  
Real World ◽  
Core Competencies ◽  
Mathematical Problem ◽  
Significant Negative Correlation ◽  
School Students ◽  
Economic Changes ◽  
The Real ◽  
Real World Problems

AbstractCreativity has been identified as a key characteristic that allows students to adapt smoothly to rapid societal and economic changes in the real world. However, Chinese students appear to perform less well in mathematical problem-solving and problem-posing abilities, which are strongly connected to mathematical creativity. Mathematical modelling has recently been introduced as one of the six core competencies in the Chinese mathematical curriculum and is built on students’ ability to solve real-world problems using mathematical means. As mathematical modelling is characterised by openness regarding the understanding of complex real-world problems and the complex relationship between the real world and mathematics, for the strengthening of creativity, mathematical modelling activities seem to be adequate to accomplish this purpose. In this paper, we describe a study with 71 upper secondary school students, 50 pre-service mathematics teachers, and 66 in-service mathematics teachers, based on an extended didactical framework regarding mathematical modelling as a creativity-demanding activity. The results of the study indicate a significant correlation between modelling competencies and creativity aspects. Especially significant correlations between the adequacy of the modelling approaches and the two creativity aspects of usefulness and fluency could be identified, as well as a significant negative correlation between usefulness and originality. The results of the correlational analysis of relationships among the four criteria were not always consistent in the three participant groups. Overall, the results have implications for the promotion of creativity for various expertise groups and demonstrate the dependency of the modelling activities on the mathematical knowledge of the participants and the mathematical topic with which they are dealing.

Current Issues: Evidence-Based Practice for the Real World: Thoughts on Clinical Education in Communication Disorders

2010 ◽  
Vol 20 (3) ◽  
pp. 100-105 ◽  
Author(s):  
Anne K. Bothe
Keyword(s):  
Clinical Education ◽  
Real World ◽  
Evidence Based Practice ◽  
Communication Disorders ◽  
University Faculty ◽  
Evidence Based ◽  
Speech Language Pathology ◽  
Basic Principles ◽  
The Real ◽  
Language Pathology

This article presents some streamlined and intentionally oversimplified ideas about educating future communication disorders professionals to use some of the most basic principles of evidence-based practice. Working from a popular five-step approach, modifications are suggested that may make the ideas more accessible, and therefore more useful, for university faculty, other supervisors, and future professionals in speech-language pathology, audiology, and related fields.

The Real-World Fellowship

2006 ◽  
Vol 40 (7) ◽  
pp. 47
Author(s):  
LEE SAVIO BEERS
Keyword(s):  
Real World ◽  
The Real

Contracts in the Real World

2016 ◽  
Author(s):  
Lawrence A. Cunningham
Keyword(s):  
Real World ◽  
The Real
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