Transformation of a Pre-Algebra Developmental Mathematics Course that Led to the Redesign of the Developmental Mathematics Program at a Rural Community College

This dissertation documents the redesign of a developmental mathematics program at a rural community college and compares the course pass rates between the redesigned courses and the traditional lecture-based courses. A design and developmental methodology was used to chronicle changes to outcomes, learning environment, instructor role, and curricular practices over four course offerings that occurred over three semesters. Effectiveness of these changes was used to continually make corrections to the course structure, and make a case to expand the redesign of the course to the entire developmental mathematics program

Some Logical Notations for Pragmatic Assertions

The pragmatic notion of assertion has an important inferential role in logic. There are also many notational forms to express assertions in logical systems. This paper reviews, compares and analyses languages with signs for assertions, including explicit signs such as Frege’s and Dalla Pozza’s logical systems and implicit signs with no specific sign for assertion, such as Peirce’s algebraic and graphical logics and the recent modification of the latter termed Assertive Graphs. We identify and discuss the main ‘points’ of these notations on the logical representation of assertions, and evaluate their systems from the perspective of the philosophy of logical notations. Pragmatic assertions turn out to be useful in providing intended interpretations of a variety of logical systems

College Algebra (Fort Valley State University)

This Grants Collection for College Algebra was created under a Round Two ALG Textbook Transformation Grant. Affordable Learning Georgia Grants Collections are intended to provide faculty with the frameworks to quickly implement or revise the same materials as a Textbook Transformation Grants team, along with the aims and lessons learned from project teams during the implementation process. Documents are in .pdf format, with a separate .docx (Word) version available for download. Each collection contains the following materials: Linked Syllabus Initial Proposal Final Reporthttps://oer.galileo.usg.edu/mathematics-collections/1000/thumbnail.jp

A Project Based Approach to Statistics and Data Science

In an increasingly data-driven world, facility with statistics is more important than ever for our students. At institutions without a statistician, it often falls to the mathematics faculty to teach statistics courses. This paper presents a model that a mathematician asked to teach statistics can follow. This model entails connecting with faculty from numerous departments on campus to develop a list of topics, building a repository of real-world datasets from these faculty, and creating projects where students interface with these datasets to write lab reports aimed at consumers of statistics in other disciplines. The end result is students who are well prepared for interdisciplinary research, who are accustomed to coping with the idiosyncrasies of real data, and who have sharpened their technical writing and speaking skills

Can STEM Initiatives Be Social Justice Oriented: An Analysis of Urban School Reform Via Smaller Learning Communities

STEM is an acronym that stands for Science, Technology, Engineering, and Math. STEM academies are theme-based curricula that have gained considerable attention on the national level. The intended outcome of a STEM curriculum is to raise career awareness and increase college and graduate level enrollment in science and engineering in order to ultimately restore the United States' position as a worldwide leader in technological innovation. In 2008, a group of middle school teachers in Maryland designed a STEM academy to address the achievement gap between African American and white students at their school. The founding teachers used a combination of thematic curriculum and structural redesign via a process called "looping" to create a school-within-a-school model that focused on average-performing and at-risk students. This study explores the process these teachers underwent to implement a differentiated STEM program to a diverse student body in an urban middle school

Signaling the Competencies of High School Students to Employers

[Excerpt] The fundamental cause of the low effort level of American students, parents, and voters in school elections is the absence of good signals of effort and accomplishment and the consequent lack of rewards for learning. In most other advanced countries mastery of the curriculum is assessed by examinations that are set and graded at the national or regional level. Grades on these exams signal the student\u27s achievement to employers and colleges and influence the jobs that graduates get and the universities and programs to which they are admitted. Exam results also influence school reputations and in some countries the number of students applying for admission to the school. In the United States, by contrast, students take aptitude tests that are not intended to assess the learning that has occurred in most of the classes taken in high school. The primary signals of academic achievement are diplomas awarded for time spent in school and grades and rank in class—criteria that assess achievement relative to other students in the school or classroom, not relative to an external standard