AP Classes and Their Impact on Engineering Education
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Advances in Engineering Education
Advances in Engineering Education WINTER 2016 Guest Editorial: Entrepreneurship and Innovation in Engineering Education PHIL WEILERSTEIN VentureWell Hadley, MA AND TOM BYERS Stanford University Palo Alto, CA BACKGROUND AND CONTEXT This special issue of Advances in Engineering Education offers a selected group of papers that address key issues and questions in the development of Innovation and Entrepreneurship education for engineering students. The eight papers here present a useful and applied perspective on program construction, evaluation, impact and perspectives on how a focus on innovation and entrepreneurial learning can influence engagement and expand student participation. We solicited papers on the topic from the engineering education community and received 31 abstracts, 17 authors were invited to submit full papers for review ultimately yielding the eight papers selected for publication here. Advances in Engineering Education’s online format provides a rich forum for the documentation of effective examples of practice and research, supported by access to multimedia. We hope that this issue will prove useful to those already engaged in this field as well as those who are seeking effective models to develop and pursue. In this introductory essay we provide an overview of the growth of this dimension of engineering education, the development of the communities and organizations that have emerged to support it, and identify issues that the field faces as innovation and entrepreneurship become more ubiquitous in engineering education. THE INNOVATION AND ENTREPRENEURSHIP IMPERATIVE FOR ENGINEERING EDUCATION In recent decades focus has increased dramatically on technological innovation and entrepreneur- ship as fundamental drivers of American prosperity and global economic leadership. -
AP Calculus BC
Mathematics Fairfield Public Schools AP Calculus BC AP Calculus BC BOE Approved 04/08/2014 1 AP CALCULUS BC Critical Areas of Focus Advanced Placement Calculus BC consists of a full year of college calculus. This course is intended for students who have demonstrated exceptional ability and achievement in mathematics, and have successfully completed an accelerated program. To be successful, students must be motivated learners who have mathematical intuition, a solid background in the topics studied in previous courses and the persistence to grapple with complex problems. Students in the course are expected to take the Advanced Placement exam in May, at a fee, for credit and/or placement consideration by those colleges which accept AP credit. The critical areas of focus for this course will be in three areas: (a) functions, graphs and limits, (b) differential calculus (the derivative and its applications), and (c) integral calculus (anti-derivatives and their applications). 1) Students will build upon their understanding of functions from prior mathematics courses to determine continuity and the existence of limits of a function both graphically and by the formal definitions of continuity and limits. They will use the understanding of limits and continuity to analyze the behavior of functions as they approach a discontinuity or as the function approaches ± . 2) Students will analyze the formal definition of a derivate and the conditions upon which a derivatve exists. They will interpret the derivative as the slope of a tangent line and the instantaneous rate of change of the function at a specific value. Students will distinguish between a tanget line and a secant line. -
The Relationship of PSAT/NMSQT Scores and AP Examination Grades
Research Notes Office of Research and Development RN-02, November 1997 The Relationship of PSAT/NMSQT Scores and AP® Examination Grades he PSAT/NMSQT, which measures devel- Recent analyses have shown that student per- oped verbal and quantitative reasoning, as formance on the PSAT/NMSQT can be useful in Twell as writing skills generally associated identifying additional students who may be suc- with academic achievement in college, is adminis- cessful in AP courses. PSAT/NMSQT scores can tered each October to nearly two million students, identify students who may not have been initially the vast majority of whom are high school juniors considered for an AP course through teacher or and sophomores. PSAT/NMSQT information has self-nomination or other local procedures. For been used by high school counselors to assist in many AP courses, students with moderate scores advising students in college planning, high school on the PSAT/NMSQT have a high probability of suc- course selection, and for scholarship awards. In- cess on the examinations. For example, a majority formation from the PSAT/NMSQT can also be very of students with PSAT/NMSQT verbal scores of useful for high schools in identifying additional 46–50 received grades of 3 or above on nearly all of students who may be successful in Advanced the 29 AP Examinations studied, while over one- Placement courses, and assisting schools in deter- third of students with scores of 41–45 achieved mining whether to offer additional Advanced grades of 3 or above on five AP Examinations. Placement courses. There are substantial variations across AP subjects that must be considered. -
Klagenfurt School of Engineering Pedagogy by Adolf Melezinek As
PAPER KLAGENFURT SCHOOL OF ENGINEERING PEDAGOGY BY ADOLF MELEZINEK AS THE BASIS OF TEACHING ENGINEERING Klagenfurt School of Engineering Pedagogy by Adolf Melezinek as the Basis of Teaching Engineering http://dx.doi.org/10.3991/ijep.v6i3.5949 Tiia Rüütmann, Hants Kipper Tallinn University of Technology, Tallinn, Estonia Abstract—Engineering Pedagogy is an interdisciplinary spiritual scientific beginning during which methods based scientific subject and an essential element of the system of upon phenomenological understanding were applied in engineering education. The article is dedicated to the work order to get insight into the components of the instruction of Adolf Melezinek, the founder of Engineering Pedagogy process. The other stream is represented by scientists who and the main principles of Kalgenfurt School of Engineer- basically created the cybernetic beginning during which ing Pedagogy. Curriculum design and technical teacher calculation methods dominated. Although both the education in Estonia is based on Melezinek’s work. A deci- streams comprise a wide range of schools, they share sion-making model by Urve Läänemets, closely connected to certain key ideas which, at the same time, distinguish Melezinek’s work and the Model of Flexible Technical them from each other [3]. Teacher Education and contemporary methodology are The traditional, classical pedagogy did not meet specif- introduced. ic needs when used for education of engineers striving for Index Terms—engineering pedagogy; technical teacher the teaching profession. This was proved by experiences education; model; curriculum; teaching engineering. of different countries. The discrepancy was solved by setting up of special engineering-pedagogical institutes at some technical universities. The term “Ingenieurpädagog- I. -
Global State of the Art in Engineering Education
The global state of the art in engineering education The global state of the art in engineering education MARCH 2018 DR RUTH GRAHAM z Executive summary i The global state of the art in engineering education Copyright © 2018 by Massachusetts Institute of Technology (MIT) All rights reserved. No part of this publication may be reproduced, distributed, or transmitted in any form or by any means, including photocopying, recording, or other electronic or mechanical methods, without the prior written permission of the publisher, except in the case of brief quotations embodied in critical reviews and certain other noncommercial uses permitted by copyright law. For permission requests, write to the publisher, addressed “Attention: Permissions Coordinator,” at the address below. Printed in the United States of America First Printing, 2018 ISBN 13: 9780692089200 New Engineering Education Transformation Massachusetts Institute of Technology 77 Massachusetts Avenue Room 1-229B Cambridge, MA 02139 USA neet.mit.edu i The global state of the art in engineering education Executive summary The study considers the global state of the art in engineering undergraduate education. It was undertaken to inform Massachusetts Institute of Technology’s (MIT) New Engineering Education Transformation (NEET), an initiative charged with developing and delivering a world-leading program of undergraduate engineering education at the university. The study was structured in two phases, both of which used one-to-one interviews as the primary evidence gathering tool: Phase 1 conducted between September and November 2016, Phase 1 provided a snapshot of the cutting edge of global engineering education and a horizon scan of how the state of the art is likely to develop in the future. -
University of Alberta
-------f.,SJ ------=-------department ) UNIVERSITY OF ALBERTA Tradition I I ! • • I I I I I I I I I I I I I I I I I I I I I i I I and I I I I I j I I j 1, I I I I I I I I j I I I I I I I I Innovation I I I I , t ' I '-~-· 'I Chemical & Materials Engineering Building J. FRASER FORBES, SIEGHARD E. WANKE University ofAlberta • Edmonton, Alberta, Canada T6G 2G6 hemical engineering has played a key role in the the 1940s and the beginning of large-scale commercial de development of Canada's oil and gas and associated velopment of the oil sands in the 1970s had major impacts C petrochemical industries, and chemical engineering on chemical engineering education in Alberta. The evolution at the University of Alberta (UofA) has been an integral part and current state of the chemical engineering program, with of the growth of the petrochemical industry in western some gazing into the future, make up the heart of this article. Canada. The UofA is located in Edmonton, capital city of the Province of Alberta. The western part of the province is HISTORY part of the majestic Canadian Rockies - The Continental The UofA opened for classes in 1908, about three years Divide makes up a significant part of the western border after the western part of the Northwest Territories of Canada between Alberta and British Columbia. The southeastern became the Province of Alberta. The UofA campus is lo part of the province is part of the Canadian Prairies, while cated on the south bank of the North Saskatchewan River, the north is part of Canada's extensive boreal forest. -
Examining Student and Teacher Talk Within Engineering Design in Kindergarten
European Journal of STEM Education, 2018, 3(3), 10 ISSN: 2468-4368 Examining Student and Teacher Talk Within Engineering Design in Kindergarten Kristina M. Tank 1*, Anastasia M. Rynearson 2, Tamara J. Moore 3 1 Iowa State University, 0624C Lagomarcino, 901 Stange Rd, 50011 Ames, USA 2 Campbell University, USA 3 Purdue University, USA *Corresponding Author: [email protected] Citation: Tank, K. M., Rynearson, A. M. and Moore, T. J. (2018). Examining Student and Teacher Talk Within Engineering Design in Kindergarten. European Journal of STEM Education, 3(3), 10. https://doi.org/10.20897/ejsteme/3870 Published: September 6, 2018 ABSTRACT Quality science, technology, engineering, and mathematics (STEM) experiences during the early years provide young learners with a critical foundation for future learning and development. Engineering design is a context that can be used to facilitate connections and learning across STEM, however there is limited research examining the use of engineering design-based STEM integration within the early childhood classroom. This study examines how an engineering design-based STEM integration unit was enacted across three kindergarten classrooms. Classroom observation and video data were collected and a coding scheme was used to document the ways that engineering and engineering design were enacted as well as the role of the teacher and students within the lessons. Results suggest that kindergarten students were able to meaningfully engage in and with multiple stages of an engineering design process while also building understanding of scientists and engineers related to teacher and student interactions, there were multiple instances of student-initiated talk, student to student response, the use of explicit engineering language and of students making connections to prior learning. -
Faculty and Student Perceptions of the Content of Entrepreneurship Courses in Engineering Education
Advances in Engineering Education WINTER 2016 Faculty and Student Perceptions of the Content of Entrepreneurship Courses in Engineering Education MARY BESTERFIELD-SACRE University of Pittsburgh Pittsburgh, PA SARAH ZAPPE The Pennsylvania State University University Park, PA ANGELA SHARTRAND VentureWell Amherst, MA AND KIRSTEN HOCHSTEDT The Pennsylvania State University University Park, PA ABSTRACT Entrepreneurship programs and courses in engineering education have steadily increased in the United States over the past two decades. However, the nature of these entrepreneurship courses and programs and the characteristics of the instructors who teach them are not yet well understood. The paper explores three research questions: 1) What content is typically included in engineering entrepreneurship courses and how is this content taught?; 2) What are instructors’ beliefs about how entrepreneurship should be taught in the engineering context; and 3) How are instructors’ beliefs actuated within a particular class related to students’ self-reported perceptions of their entrepreneurial knowledge and abilities? The study shows that content associated with different course types, such as Becoming an Entrepreneur, New Venture Development, and Product Ideation and Development, often overlaps substantially, suggesting a lack of clarity in how these types of courses are defined. Second, instructors who teach entrepreneurship to engineering students believe that programs and courses should focus equally on both teaching skills and developing values and -
Calculus Terminology
AP Calculus BC Calculus Terminology Absolute Convergence Asymptote Continued Sum Absolute Maximum Average Rate of Change Continuous Function Absolute Minimum Average Value of a Function Continuously Differentiable Function Absolutely Convergent Axis of Rotation Converge Acceleration Boundary Value Problem Converge Absolutely Alternating Series Bounded Function Converge Conditionally Alternating Series Remainder Bounded Sequence Convergence Tests Alternating Series Test Bounds of Integration Convergent Sequence Analytic Methods Calculus Convergent Series Annulus Cartesian Form Critical Number Antiderivative of a Function Cavalieri’s Principle Critical Point Approximation by Differentials Center of Mass Formula Critical Value Arc Length of a Curve Centroid Curly d Area below a Curve Chain Rule Curve Area between Curves Comparison Test Curve Sketching Area of an Ellipse Concave Cusp Area of a Parabolic Segment Concave Down Cylindrical Shell Method Area under a Curve Concave Up Decreasing Function Area Using Parametric Equations Conditional Convergence Definite Integral Area Using Polar Coordinates Constant Term Definite Integral Rules Degenerate Divergent Series Function Operations Del Operator e Fundamental Theorem of Calculus Deleted Neighborhood Ellipsoid GLB Derivative End Behavior Global Maximum Derivative of a Power Series Essential Discontinuity Global Minimum Derivative Rules Explicit Differentiation Golden Spiral Difference Quotient Explicit Function Graphic Methods Differentiable Exponential Decay Greatest Lower Bound Differential -
Should You Take AP Calculus AB Or
Author: Success Pathway Email: [email protected] Calculus AB and BC’s significant distinction lies in the range of what you'll learn, not the difficulty level. Although both AP Calculus classes are intended to be university-level courses, Calculus AB utilizes one year to cover the equivalent of one semester of Calculus in a college semester. Calculus BC covers a total of two semesters. Both courses follow curriculum created by The College Board and requires students to take the AP exam in May. A student cannot take both AP Calculus AB and BC in the same year. AP Calculus AB teaches students Precalculus (A) and the beginning part of Calculus I (B). AP Calculus BC will also cover Calculus I (B) and part of Calculus II (C). Some of the topics covered in Calculus AB include functions, graphs, derivatives and applications, integrals and its application. On the contrary, Calculus BC will cover all of the above topics, along with polynomial approximations, Taylor series, and series of constants. AP Calculus BC Taking Precalculus and Calculus BC can prove to be a hard challenge. If a student is doing well in Precalculus and wants to pursue a degree in any math dominant career such as Engineering, they may want to consider taking Calculus BC. They will need to continue into more advanced math courses and Precalculus is a great prerequisite. They may want to consider taking AP Statistics, if their schedule allows. Taking AP Calculus BC will give students the opportunity to challenge their math skills. Provided a student passes the Calculus BC exam, they can transfer more credits to their future college than if they took Calculus AB. -
The Relationship Between AP® Exam Performance and College Outcomes
RESEaRch REpoRt 2009-4 The Relationship Between AP® Exam Performance and College Outcomes By Krista D. Mattern, Emily J. Shaw, and Xinhui Xiong VALIDITY College Board Research Report No. 2009-4 The Relationship Between AP® Exam Perfomance and College Outcomes Krista D. Mattern, Emily J. Shaw, and Xinhui Xiong The College Board, New York, 2009 Krista D. Mattern is an associate research scientist at the College Board. Emily J. Shaw is an assistant research scientist at the College Board Xinhui Xiong was a graduate student intern at the College Board. Researchers are encouraged to freely express their professional judgment. Therefore, points of view or opinions stated in College Board Reports do not necessarily represent official College Board position or policy. About the College Board The College Board is a mission-driven not-for-profit organization that connects students to college success and opportunity. Founded in 1900, the College Board was created to expand access to higher education. Today, the membership association is made up of more than 5,900 of the world’s leading educational institutions and is dedicated to promoting excellence and equity in education. Each year, the College Board helps more than seven million students prepare for a successful transition to college through programs and services in college readiness and college success — including the SAT® and the Advanced Placement Program®. The organization also serves the education community through research and advocacy on behalf of students, educators and schools. For further information, visit www.collegeboard.org. © 2009 The College Board. College Board, Advanced Placement Program, AP, SAT and the acorn logo are registered trademarks of the College Board. -
AP Calculus AB Cram Sheet
ABCramSheet.nb 1 AP Calculus AB Cram Sheet Definition of the Derivative Function: f xh f x f ' (x) = limh0 cccccccccccccccchccccccccccccccc + / + / Definition of Derivative at a Point: f ah f a f ' (a) = limh0 cccccccccccccccchccccccccccccc (note: the first definition results in a function, the second definition results in a number. Also f ah f a note that the difference quotient, cccccccccccccccchccccccccccccc , by itself, represents the average rate of change of f from x = a to x = a + h) + / + / + / + / Interpretations of the Derivative: f ' (a) represents the instantaneous rate of change of f at x = a, the slope of the tangent line to the graph of f at x = a, and the slope of the curve at x = a. Derivative Formulas: (note:a and k are constants) d cccccccdx k 0 d cccccccdx (k·f(x))= k·f ' (x) + / d n n1 cccccccdx f x n f x f ' x d cccccccdx [f(x) ± g(x)] = f ' (x) ± g ' (x) + + // + + // + / d cccccccdx [f(x)·g(x)] = f(x)·g ' (x) + g(x) · f ' (x) d f x g x f ' x f x g ' x cccccccdx cccccccccccg x ccccccccccccccccccccccccccccccccg x 2 cccccccccccccccccc d + / + / + / + / + / ccccccc sin(f(x))+ / = cos (f(x))+ + // ·f ' (x) dx , 0 d cccccccdx cos(f(x)) = -sin(f(x))·f ' (x) d 2 cccccccdx tan(f(x)) = sec f x º f ' x d 1 cccccccdx ln(f(x)) = cccccccccccf x º f ' x + + // + / d f x f x cccccccdx e e +º /f ' x + / d f+x/ f+ x/ cccccccdx a a º ln a º f ' x + / cccccccd sin+/1 f x + / ccccccccccccccccf ' xcccccccccccc dx 2 1 f x + / + / d 1 r f ' x ccccccc cos f x cccccccccccccccc+ + // cccccccccccc dx + / 1 f x 2 + / r + / + + // ABCramSheet.nb 2 d tan1 f x f ' x cccccccdx cccccccccccccccc1 f xcccccc2 d 1 + / 1 ccccccc f x at x +f + a// equals cccccccccccccc at x a dx + / f ' x L'Hopitals's Rule: + / + + // + / f x 0 f ' x If limxa cccccccccccg x cccc0 or cccccc and if limxa ccccccccccccccg ' x exists then f x + / f ' x + / limxa cccccccccccg x + / limxa ccccccccccccccg ' x + / + / + / 0 f x The same+ /rule applies if +you/ get an indeterminate form ( cccc0 or cccccc ) for limx cccccccccccg x as well.