The red stag

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9. Stags and the interaction with their surroundings

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Understanding exponential growth is of critical importance in sustainability, resource conservation, and economics. This work contains a collection of practice problems and realistic case studies developed for the teaching of sustainability science and conservation, with an emphasis on learning and applying the concepts of exponential growth. The exercises are designed to foster quantitative competence (numeracy) as well as critical thinking and systems thinking. Students learn to work with tools such as spreadsheet software and online databases and practice the application of basic but powerful quantitative analyses techniques. The case studies are based on recent, high quality data and explore questions of high relevance for the study and application of sustainability science. This work is related to the Growth in a finite world presentation (http://www.slideshare.net/amenning/growth-in-a-finite-world-sustainability-and-the-exponential-function).

Exponential Growth: Case Studies for Sustainability Education

Toni Menninger

The problems below are a selection of real world problems developed for the teaching of sustainability/conservation related College classes. The exercises are designed to foster quantitative competence (numeracy) as well as critical thinking and systems thinking. They are basic but realistic and all data used are taken from the published scientific literature and from public online databases maintained by official organizations such as FAO and EIA. No advanced Mathematics is required, yet these problems are challenging for most students. Many students need help to overcome a certain math anxiety or even phobia. These exercises must be accompanied by intensive discussion, assistance, and feedback. Students who complete these assignments successfully experience the power of even basic quantitative methods. They learn that informed citizens do not have to rely solely upon the advice of experts – with reasonable effort they can gather and interpret information and come up with approximate answers to important, non-trivial real world questions.

Sustainable Agriculture, Food Security, Corn Ethanol: Quantitative Study Prob...

Toni Menninger

A lecture in Quantitative Sustainability It is often claimed that agricultural productivity needs to be increased in order to feed a growing world population. Food security depends on several factors besides the productivity, including waste/efficiency, energy crops, meat consumption, and global justice and equity. This lecture explores the issue of food security in its many dimensions and teaches how to use a high-level systems approach in sustainability science.

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Understanding exponential growth is of critical importance in sustainability, resource conservation, and economics. This article provides a rigorous yet accessible introduction to this essential concept. It also provides a selection of practice problems that will help students apply and deepen their understanding of the material. This article accompanies my lecture presentation "Growth in a Finite World - Sustainability and the Exponential Function" (http://www.slideshare.net/amenning/growth-in-a-finite-world-sustainability-and-the-exponential-function). Also refer to Case Studies for Sustainability Education: Understanding Exponential Growth (http://www.slideshare.net/amenning/exponential-growth-casestudies).

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This presentation, accessible to the general public and specifically designed for students of sustainability, explores the dramatic growth of the human sphere on planet Earth with its limited resources, and presents the mathematical tools for understanding the exponential function. The lecture is accompanied by the article "Exponential Growth, Doubling Time, and the Rule of 70" (http://www.slideshare.net/amenning/exponential-growthmath) and a collection of practice problems and case studies (http://www.slideshare.net/amenning/exponential-growth-casestudies). The presentation "The Human Population Challenge" is suitable as a follow-up lecture.

Growth in a Finite World - Sustainability and the Exponential Function

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The red stag

2. The Red Stag (Rutilus Cervus)

7. 4. Stags and the herd mentality

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The red stag

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The red stag