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The Primate Life History Database: a unique shared ecological data resource

This paper details the creation of the primate life history database that was used in the Bronikowski et al. Science paper by which underlies the "Survivorship in the Natural World" module.

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Essay to students about the fallacy of fixed math ability

This is a short essay I wrote in 2014 to share with my students, after hearing the inevitable "I'm not good at math." as a reaction to some quantitative topics in class.  I hope that it is not too preachy, but rather points students to think in a different way about math ability.   It was (seemingly) well-received by freshmen in an intro bio course.  Perhaps it could be used to start an in-class discussion about math ability, how to approach one's own academic "weaknesses", and the "growth" mindset....  (more on the growth mindset here: http://www.mindsetworks.com/webnav/whatismindset.aspx)

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Data Nuggets - Bringing Real Data into the Classroom to Unearth Students' Quantitative & Inquiry Skills

Data Nuggets are narratives about real research, featuring the principal scientist, that include data students can analyze.   Right now they are aimed at K-12 students, but many topics covered are taught in college courses, and there is no limit to what mathematical or statistical concepts could be added.

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CATALST - Change Agents for Teaching and Learning Statistics

From the project website: "This project uses the acronym CATALST (Change Agents for Teaching and Learning Statistics) to represent the goal of accelerating change in the teaching and learning of statistics. The changes we are working towards are in both content and pedagogy. Our focus is the first, introductory, non-calculus based statistics course. This project was funded from 2008–2012 to develop curriculum materials, lesson plans, and corresponding student assessments."

"The CATALST curriculum consists of three units: (1) Chance Models and Simulation, (2) Models for Comparing Groups, and (3) Estimating Models Using Data. Activities are built on ideas of modeling and simulation, with “the core logic of inference” as the foundation (Cobb, 2007, p. 13). When applied to randomized experiments and random samples, Cobb refers to this logic as the “three Rs”: randomize, repeat, and reject. The CATALST project generalized this logic for a broader simulation-based approach to inference as follows:

  • Model: Specify a model that will generate data to reasonably approximate the variation in outcomes attributable to the random process—be it in sampling or assignment. The model is often created as a null model that may be rejected in order to demonstrate an effect.
  • Randomize & Repeat: Use the model to generate simulated data for a single trial, in order to assess whether the outcomes are reasonable. Specify the summary measure to be collected from each trial. Then, use the model to generate simulated data for many trials, each time collecting the summary measure.
  • Evaluate: Examine the distribution of the resulting summary measures. Use this distribution to assess particular outcomes, evaluate the model used to generate the data, compare the behavior of the model to observed data, make predictions, etc."

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statsTeachR

What is statsTeachR?

statsTeachR is an open-access, online repository of modular lesson plans, a.k.a. "modules", for teaching statistics using R at the undergraduate and graduate level. Each module focuses on teaching a specific statistical concept. The modules range from introductory lessons in statistics and statistical computing to more advanced topics in statistics and biostatistics. We are developing plans to create a peer-review process for some of the modules submitted to statsTeachR. 

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Project MOSAIC

Project MOSAIC is a community of educators working to develop a new way to introduce mathematics, statistics, computation and modeling to students in colleges and universities.

Our goal: Provide a broader approach to quantitative studies that provides better support for work in science and technology. The focus of the project is to tie together better diverse aspects of quantitative work that students in science, technology, and engineering will need in their professional lives, but which are today usually taught in isolation, if at all.

  • Modeling. The ability to create, manipulate and investigate useful and informative mathematical representations of a real-world situations.
  • Statistics. The analysis of variability that draws on our ability to quantify uncertainty and to draw logical inferences from observations and experiment.
  • Computation. The capacity to think algorithmically, to manage data on large scales, to visualize and interact with models, and to automate tasks for efficiency, accuracy, and reproducibility.
  • Calculus. The traditional mathematical entry point for college and university students and a subject that still has the potential to provide important insights to today’s students.

The name MOSAIC reflects the first letters — M, S, C, C — of these important components of a quantitative education. Project MOSAIC is motivated by a vision of quantitative education as a mosaic where the basic materials come together to form a complete and compelling picture.

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OpenIntro

OpenIntro was started with one goal in mind: create a free and open-source introductory textbook. 

The mission of OpenIntro is to make educational products that are free, transparent, and lower barriers to education.

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SUMS4Bio - Video tutorials in math and stats for biology students

This website features an array of short video tutorials on ideas covered in Radford University's Math4Bio and Stats4Bio courses. Some videos cover concepts, while others cover the logistics of using software to accomplish certain tasks (e.g., graphing in Excel).  The main purpose of these videos was to provide a reference for students to return to, to review ideas they need to apply in their courses. 

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Introductory Science and Mathematics Education for 21st-Century Biologists

Article abstract:  "Galileo wrote that “the book of nature is written in the language of mathematics”; his quantitative approach to understanding the natural world arguably marks the beginning of modern science. Nearly 400 years later, the fragmented teaching of science in our universities still leaves biology outside the quantitative and mathematical culture that has come to define the physical sciences and engineering. This strikes us as particularly inopportune at a time when opportunities for quantitative thinking about biological systems are exploding. We propose that a way out of this dilemma is a unified introductory science curriculum that fully incorporates mathematics and quantitative thinking."

 

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Innovative Teaching Exchange: Asking Questions in Probability Class

This is an article in MAA's Innovative Teaching Exchange that describes strategies to get students past thoughtless number crunching, guessing, and intuition when it comes to solving probability problems.  

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Workshop Statistics: Discovery with Data, A Bayesian Approach

From the project website "

Workshop Statistics:  Discovery with Data, A Bayesian Approach, Key College Press; ISBN: 1930190123 (coauthored with Allan J. Rossman of Dickinson College) is a collection of classroom and homework activities designed to introduce the student to concepts in data analysis, probability, and statistical inference.  Students work toward learning these concepts through the analysis of genuine data and hands-on probability experiments and through interaction with one another, with their instructor, and with technology.  Providing a one-semester introduction to fundamental ideas in statistics for college and advanced high school students, this text is designed for courses that employ an interactive learning environment by replacing lectures with hands-on activities.

The complete book can be downloaded from http://bayes.bgsu.edu/nsf_web/workshop.bayes.pdf 

This text is distinctive with respect to two aspects --- its emphasis on active learning and its use of the Bayesian viewpoint to introduce the basic notions of statistical inference."

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Mathematics for Biologists Problem Workbook

This is a workbook of solved problems created by Dr. Juergen Gerlach at Radford University, for  students in Math 119 - Mathematics for Biologists.   

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Revolutionizing the Use of Natural History Collections in Education

Using natural history collections, both physical specimens and archive data, promises to connect classroom learning with the real world of science. 

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AIM-UP! (Advancing Integration of Museums into Undergraduate Programs)

An NSF-funded Research Coordination Network (DEB 0956129), the goal of AIM-UP! is to bring museum archives and natural history collections to the forefront of biology education. 

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Taking a Second Look: Investigating Biology with Visual Datasets

An article exploring the use of visual datasets as an educational aid for biology students. 

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MathBench Biology Modules

Modules designed to help students understand the math behind the material learned in introductory ecology courses. 

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Quantitative Reasoning: Peer Review 16(3), 2014

In this issue of the journal Peer Review, the authors discuss the issues surrounding quantitative literacy. 

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Wellesley College Study Packet for the Quantitative Reasoning Assessment

This packet contains a set of 24 practice questions and 2 full-length practice assessments for the Quantitative Reasoning Assessment for Wellesley College. 

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Molecular Biology of the Cell (MBoC)

An online journal focusing upon generally-applicable studies of cell biology.

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Numbers Count!: Statistics course

This course in the Numbers Count! curriculum introduces the basics of statistical analysis, including basic definitions, data visualization, and application. 

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AIM-UP! Coal balls lesson

In this activity, students learn about ancient plant life and climate change by examining coal balls. In addition to the lesson itself, information is provided on where to purchase coal ball peel kits for hands-on experience. 

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AIM-UP! GIS and bats lesson

This lesson introduces the use of GIS (geographic information systems) in the study of biological questions, using bats as the model organism. This activity requires access to GIS software. 

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AIM-UP! Reading scientific literature module

Designed to span 4 one-hour lectures, this module focuses upon developing the skill of thorough and critical reading of scientific literature. 

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Modeling Crop Rotation with Discrete Mathematics

Module Summary: The production of crops is essential to human life. Producing these crops, however, comes with it a cost to the environment. The commonly used agricultural techniques in place in the United States rely on machinery and chemicals in order to keep up with the demand. However, over time, these methods strip the soil of nutrients which in turn require added inputs to produce the crops in the first place. In order to continue to produce crops at current levels of need and, by extension, to increase production, methods to counter these deficiencies must be utilized. One of these methods, used in both organic and 4conventional" agriculture, is that of crop rotation. Crop rotation may be as simple as the current corn/bean rotation in the conventional system, or more elegantly implemented with organic techniques such as intercropping, 4green manure,! and 4catch cropping.! Certain crops have characteristics which lend themselves to rotation. These crops are then rotated with crops which provide income or fodder for animals. However, the creation of a rotational schedule over a plot of subdivided land is a challenge which faces the agriculturist in planning the most efficient use of land so that demand is met, soils are sustained, and economic impact is reduced when leaving land off of a 4production schedule.! The module develops discrete mathematics models that allow for creation of schedules meeting a variety of needs.

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Carbon Footprint: A Study of Unit and Dimensions

In this module, we integrate the context of carbon emission and human consumption into an introductory lesson on units and estimation. Background information is provided to familiarize students with the science of carbon emissions as well as greenhouse gas effects on mean global temperatures.

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