This document discusses ways to help students visualize radians through relating them to fractions of a circle or pie. It notes that students often struggle to conceptualize radians and where angles terminate. The author proposes using slices of a pie or circle to represent fractions of pi or a full radian. Examples are given such as 1/2 pi representing half a slice, 1/4 pi representing a quarter slice. Snowboarding tricks are also used to demonstrate representing rotations in radians. The goal is to provide students a new, visual way to understand radians rather than just as abstract numbers.
Active Learning: Success, Retention and Engagement Onsite and OnlineFred Feldon
The lecture environment and online homework systems fail to capture the reasoning and higher-level thinking skills students can bring to quantitative problems. Regular and substantive interaction, collaboration, productive struggle, and non-routine questions that stimulate discussion lead to deeper understanding of concepts, applicability, and support of students' affective needs.
Tips and Strategies for the Virtual Shift of Face-to-Face Math ClassesFred Feldon
An AMATYC/NOSS/ITLC joint presentation by Fred Feldon and Paul Nolting for the American Mathematical Association of Two Year Colleges, the National Organization for Student Success, and the Innovative Teaching and Learning Committee. Tips on dealing with the transition to remote teaching and learning because of COVID-19.
ZOOM Your Way Into Online Corequisite SupportFred Feldon
"Aarrgh... I feel like I'm teaching myself!" Learn how to remove the overwhelming sense of isolation in an online corequisite course by including affective domain and having a synchronous component. Technology has now reached a point where you can finally, truly replicate the collaboration, breakout groups, peer instruction and active learning that normally takes place in the classroom.
2nd That Emotion: Support for the Affective DomainFred Feldon
Los Angeles Valley College AB 705 Math Workshop, May 17, 2019. Design principles for high-challenge, high-support curricula and pedagogy includes intentional support for students' affective needs. The non-cognitive domain plays an undeniable role in reducing students' fears and increasing students' willingness to engage with challenging tasks.
Active Learning: Success, Retention and Engagement Onsite and OnlineFred Feldon
The lecture environment and online homework systems fail to capture the reasoning and higher-level thinking skills students can bring to quantitative problems. Regular and substantive interaction, collaboration, productive struggle, and non-routine questions that stimulate discussion lead to deeper understanding of concepts, applicability, and support of students' affective needs.
Tips and Strategies for the Virtual Shift of Face-to-Face Math ClassesFred Feldon
An AMATYC/NOSS/ITLC joint presentation by Fred Feldon and Paul Nolting for the American Mathematical Association of Two Year Colleges, the National Organization for Student Success, and the Innovative Teaching and Learning Committee. Tips on dealing with the transition to remote teaching and learning because of COVID-19.
ZOOM Your Way Into Online Corequisite SupportFred Feldon
"Aarrgh... I feel like I'm teaching myself!" Learn how to remove the overwhelming sense of isolation in an online corequisite course by including affective domain and having a synchronous component. Technology has now reached a point where you can finally, truly replicate the collaboration, breakout groups, peer instruction and active learning that normally takes place in the classroom.
2nd That Emotion: Support for the Affective DomainFred Feldon
Los Angeles Valley College AB 705 Math Workshop, May 17, 2019. Design principles for high-challenge, high-support curricula and pedagogy includes intentional support for students' affective needs. The non-cognitive domain plays an undeniable role in reducing students' fears and increasing students' willingness to engage with challenging tasks.
Online Implementation of AB 705 In MathFred Feldon
Third Annual Statewide California Acceleration Project (CAP) Conference 2019. Online learning is an attractive option to an ever-increasing number of diverse students. Supporting AB 705 in the online modality is a real challenge. Coastline College, with 85% purely online enrollment in math, is meeting the challenge.
Dollar-Fifty-a-Pair Socks Come in a 3-PackFred Feldon
AB 705 is placing large numbers of under-prepared students in collegiate courses. Support courses which incorporate the affective domain will increase success and retention.
Intelligent Adaptive Learning: A Powerful Element for 21st Century Learning &...DreamBox Learning
In this webinar, Dr. Tim Hudson shares insights about leveraging technology to improve student learning. At a time when schools are exploring “flipped” and “blended” learning models, it’s important to deeply understand how to design effective learning experiences, curriculum, and differentiation approaches. The quality of students’ digital learning experiences is just as important as the quality of their educational experiences inside the classroom. Having worked for over 10 years in public education as a teacher and administrator, Dr. Hudson has worked with students, parents, and teachers to improve learning outcomes for all students. As Curriculum Director at DreamBox Learning, he provides an overview of Intelligent Adaptive Learning, a next generation technology available to schools that uses sound pedagogy to tailor learning to each student’s unique needs. This webinar focuses on how administrators and teachers can make true differentiation a reality by focusing on learning goals and strategic use of technology.
Starting STEM Early: Embedding Matter, Energy, and Engineering into the Early...Kengo Yamada
Looking to incorporate STEM and the NGSS into your early childhood environment? I presented this inquiry-based workshop where administrators, teachers and I explored some hands-on activities to appropriately introduce topics of matter, energy, and engineering into an early childhood classroom.
Teachers walked away with a list of activities and an understanding of how to navigate the NGSS website in search of appropriate standard connections.
The Quest for Engaged Students: Technology, Millennials & LearninKarl Kapp
In an increasingly connected world, how does one hold the attention of students? Can the ubiquitous Smartphones and tablets actually be used to engage students instead of distracting them? Can we combine the best of traditional and modern teaching methods to create deeper learning and engagement with students? Can a lecture be redesigned to hold the attention of the students? Engagement and deep thinking is possible in a lecture by incorporating simple game elements into the instructional delivery. The result is interactive, engaging instruction which increases retention and application of learned content. Discover methods for engaging Millennials by participating in an interactive, game-like learning experience combining the technology of PowerPoint, a little imagination, and an audience response system.
One of the most popular Hatch 'Super-Power' Webinars to date! Brian Puerling shares awesome ideas for using various technology in the early learning classroom. From publishing books, to classroom blogging, and plenty of other new ideas to take away to your education programs.
http://www.hatchearlychildhood.com/webinars
Confident And Connected Keynote Web VersionSuzie Vesper
A keynote that looks at being part of a connected world, how classrooms are making connections (based around the key competencies in the New Zealand curriculum), and issues that need to be considered when working online in education.
Online Implementation of AB 705 In MathFred Feldon
Third Annual Statewide California Acceleration Project (CAP) Conference 2019. Online learning is an attractive option to an ever-increasing number of diverse students. Supporting AB 705 in the online modality is a real challenge. Coastline College, with 85% purely online enrollment in math, is meeting the challenge.
Dollar-Fifty-a-Pair Socks Come in a 3-PackFred Feldon
AB 705 is placing large numbers of under-prepared students in collegiate courses. Support courses which incorporate the affective domain will increase success and retention.
Intelligent Adaptive Learning: A Powerful Element for 21st Century Learning &...DreamBox Learning
In this webinar, Dr. Tim Hudson shares insights about leveraging technology to improve student learning. At a time when schools are exploring “flipped” and “blended” learning models, it’s important to deeply understand how to design effective learning experiences, curriculum, and differentiation approaches. The quality of students’ digital learning experiences is just as important as the quality of their educational experiences inside the classroom. Having worked for over 10 years in public education as a teacher and administrator, Dr. Hudson has worked with students, parents, and teachers to improve learning outcomes for all students. As Curriculum Director at DreamBox Learning, he provides an overview of Intelligent Adaptive Learning, a next generation technology available to schools that uses sound pedagogy to tailor learning to each student’s unique needs. This webinar focuses on how administrators and teachers can make true differentiation a reality by focusing on learning goals and strategic use of technology.
Starting STEM Early: Embedding Matter, Energy, and Engineering into the Early...Kengo Yamada
Looking to incorporate STEM and the NGSS into your early childhood environment? I presented this inquiry-based workshop where administrators, teachers and I explored some hands-on activities to appropriately introduce topics of matter, energy, and engineering into an early childhood classroom.
Teachers walked away with a list of activities and an understanding of how to navigate the NGSS website in search of appropriate standard connections.
The Quest for Engaged Students: Technology, Millennials & LearninKarl Kapp
In an increasingly connected world, how does one hold the attention of students? Can the ubiquitous Smartphones and tablets actually be used to engage students instead of distracting them? Can we combine the best of traditional and modern teaching methods to create deeper learning and engagement with students? Can a lecture be redesigned to hold the attention of the students? Engagement and deep thinking is possible in a lecture by incorporating simple game elements into the instructional delivery. The result is interactive, engaging instruction which increases retention and application of learned content. Discover methods for engaging Millennials by participating in an interactive, game-like learning experience combining the technology of PowerPoint, a little imagination, and an audience response system.
One of the most popular Hatch 'Super-Power' Webinars to date! Brian Puerling shares awesome ideas for using various technology in the early learning classroom. From publishing books, to classroom blogging, and plenty of other new ideas to take away to your education programs.
http://www.hatchearlychildhood.com/webinars
Confident And Connected Keynote Web VersionSuzie Vesper
A keynote that looks at being part of a connected world, how classrooms are making connections (based around the key competencies in the New Zealand curriculum), and issues that need to be considered when working online in education.
Amena Lee Schlaikjer is a global citizen, uprooted every 2 years since birth as a diplomat brat under the guise of an American passport from her Amero-Danish-Dutch father, but strongly grounded in the humbled village roots of her aboriginal Taiwanese mother. “Lifestyle” and “Life Choices” of people have always been her passion and manifested in an early career in fashion and cosmetics, later evolving into the world of marketing and innovation. Tired of manipulative messaging and after battling a long bout of insomnia, followed by a year of yoga and wellness research, Amena decided to concentrate on products and services with authentic intentions and therefore launched ‘The Wellness Works’. TWW is a creative network of practitioners passionate about bringing mindful stories, responsible brands and healthy events to market through company workshops and ideas. She also sits as acting Shanghai Manager for Asia-Pacific LOHAS, a wider community of LOHASians (or people who aspire towards Lifestyles of Health and Sustainability).
Thomas Vandebogaerde is a French aerospace engineer that decided to go green. His masters’ thesis in Tsinghua University focused on Waste-to-Energy projects. He worked as a sustainability engineer, and then as a senior auditor. He’s currently an Operations Management Consultant in Shanghai, after having worked previously at Michelin, Lafarge, EY and Accenture. He sets up sustainable operations for various sectors including aerospace, automotive, building materials and retail.
In this presentation Thomas shares large-scale Waste-to-Energy case studies in China, Asia and Africa to show that more than high-tech projects, these are high-organization projects.
Urgensi Revisi Undang-Undang Nomor 15 Tahun 2006 tentang Badan Pemeriksa Keua...Rudi Wijaya
Oleh: Prof. Dr. Enny Nurbaningsih (Ketua Badan Pembinaan Hukum Nasional)
Bahan Diskusi Publik Revisi Undang-Undang Nomor 15 Tahun 2005 tentang Badan Pemeriksa Keuangan pada 9 September 2016 di Fakultas Hukum Universitas Lampung
Gensler, a leading design firm globally, spent three years researching and conducting several experiments related to smog and altitude, indoor pollution and living walls, and outdoor green spaces. The study aims to come up with ideas and methods for how architecture and engineering can improve the way we design buildings to address air quality both indoors and outdoors. Fortunately, their results were very insightful. We believe that buildings themselves can become the filters; not just for the users, but also for the whole population.
In this presentation, Kyle presents us the results from three years of research that he and his team conducted to discover how to address air quality both indoors and outdoors through the way we design buildings. Their studies included the efficiency of Living Walls, the effectivity of particulates at various altitudes, and conceptualization of a prototype lung to passively clean air.
Kyle is the Founder and Research Director for Gensler’s “Design for Polluted and Toxic Environments”. His research seeks to use design as a way to problem solve issues related to indoor and outdoor air quality. He has received awards for his work as a designer from AIA, IIDA, US Green Building Council, ID Best of the Year Award, FX International Interior Design Award, Blue Print Design Award, Surface Design Award, and A2asia Award. Additionally, Kyle is a Lecturer at Tongji University’s Design Innovation School & FabO Maker Space, and recently joined forces with the Climate Reality Project, led by former US Vice President Al Gore as a “Global Climate Leader” and Mentor.
Fullerton College RSI Workshop Summer 2018Fred Feldon
What is RSI (regular and substantive interaction)? What type of RSI activities are specific to online math classes? How do you provide the evidence? How does this evidence affect federal funding?
This is a talk I gave last week in Toronto that was geared towards discussing PBL Math with parents and answering some of their questions about the pedagogy.
CMC3 South Spring 2016 Active Learning and Social MediaFred Feldon
How to incorporate technology, social media, flipping, and other tips and tricks to increase face-to-face and online student interaction, participation, and whole-class discussion of higher-level concepts, which profoundly change the teaching/learning process.
At a meeting of school principals and educational-policy makers from in and around Chennai, I had the opportunity to talk about how I felt IT in the classroom could be used to reach the UNreached.
Coastline College Summer Technology Institute 2017 - Engage and motivate your students with a free program for collaboration and formative assessment. Kahoot is compatible with all the devices your students bring to class (laptop, tablet, cell phone). As with everything else in the classroom, however, what's important is not the technology but the pedagogy.
The Science, Technology, Engineering, and Mathematics (STEMLieLanieNavarro
The Science, Technology, Engineering, and Mathematics (STEM) track is for those looking to start a career in science and technology-related fields such as Engineering, Architecture, Information Technology, Natural Sciences, Nursing, Mathematics, and Statistics.
End the Didactic Contract - KYMATYC Ignite EventFred Feldon
Students want help; they feel they can't learn themselves or they don't want to. Teachers want to help. But helping too much removes the cognitive demand.
End the Didactic Contract - KYMATYC Ignite EventJennifer Stead
Students want help; they feel they can't learn on their own or don't see a need to. Teachers want to help. But helping too much removes the cognitive demand.
COLTT 2015 - Just-in-Time Teaching - Part 2 - Making It Shine - Aug 2015Jeff Loats
A second session, focusing on how to make the technique really work in the classroom. Topics: JiTT recap, participant questions, what tool to use, getting student buy-in and writing good questions.
This presentation focuses less on what JiTT is and the evidence for its effectiveness..
AMATYC 39th Annual Conferene Friday night Ignite Event: Twenty slides are automatically advanced every 15 seconds while the speakers have exactly five minutes to share their passion!
Increase Engagement and Authentic Assessment in Online ClassesFred Feldon
Part 2 of American Mathematical Association of Two Year Colleges (AMATYC) joint presentation with Maria Andersen, February 15, 2022. Overcome students' predilection to passivity, create a pathway to equity and develop confident, motivated students.
2nd That Emotion_Support for the Affective DomainFred Feldon
44th Annual Conference at Disney's Coronado Springs Resort Orlando FL November 16 2018 Friday evening Ignite event. What is the "affective domain" and why is it so important for success in a math class.
AMATYC 41st Annual Conferene New Orleans, LA, Friday night Ignite Event: Twenty slides are automatically advanced every 15 seconds while the speakers have exactly five minutes to share their passion!
AMATYC 41st Annual Conferene New Orleans, LA, Friday night Ignite Event: Twenty slides are automatically advanced every 15 seconds while the speakers have exactly five minutes to share their passion!
Working in math offers unlimited career potential across a wide range of industries. These positions are financially lucrative, offer personal satisfaction and abundant opportunities for advancement, and a very favorable hiring outlook.
Palestine last event orientationfvgnh .pptxRaedMohamed3
An EFL lesson about the current events in Palestine. It is intended to be for intermediate students who wish to increase their listening skills through a short lesson in power point.
The Roman Empire A Historical Colossus.pdfkaushalkr1407
The Roman Empire, a vast and enduring power, stands as one of history's most remarkable civilizations, leaving an indelible imprint on the world. It emerged from the Roman Republic, transitioning into an imperial powerhouse under the leadership of Augustus Caesar in 27 BCE. This transformation marked the beginning of an era defined by unprecedented territorial expansion, architectural marvels, and profound cultural influence.
The empire's roots lie in the city of Rome, founded, according to legend, by Romulus in 753 BCE. Over centuries, Rome evolved from a small settlement to a formidable republic, characterized by a complex political system with elected officials and checks on power. However, internal strife, class conflicts, and military ambitions paved the way for the end of the Republic. Julius Caesar’s dictatorship and subsequent assassination in 44 BCE created a power vacuum, leading to a civil war. Octavian, later Augustus, emerged victorious, heralding the Roman Empire’s birth.
Under Augustus, the empire experienced the Pax Romana, a 200-year period of relative peace and stability. Augustus reformed the military, established efficient administrative systems, and initiated grand construction projects. The empire's borders expanded, encompassing territories from Britain to Egypt and from Spain to the Euphrates. Roman legions, renowned for their discipline and engineering prowess, secured and maintained these vast territories, building roads, fortifications, and cities that facilitated control and integration.
The Roman Empire’s society was hierarchical, with a rigid class system. At the top were the patricians, wealthy elites who held significant political power. Below them were the plebeians, free citizens with limited political influence, and the vast numbers of slaves who formed the backbone of the economy. The family unit was central, governed by the paterfamilias, the male head who held absolute authority.
Culturally, the Romans were eclectic, absorbing and adapting elements from the civilizations they encountered, particularly the Greeks. Roman art, literature, and philosophy reflected this synthesis, creating a rich cultural tapestry. Latin, the Roman language, became the lingua franca of the Western world, influencing numerous modern languages.
Roman architecture and engineering achievements were monumental. They perfected the arch, vault, and dome, constructing enduring structures like the Colosseum, Pantheon, and aqueducts. These engineering marvels not only showcased Roman ingenuity but also served practical purposes, from public entertainment to water supply.
Operation “Blue Star” is the only event in the history of Independent India where the state went into war with its own people. Even after about 40 years it is not clear if it was culmination of states anger over people of the region, a political game of power or start of dictatorial chapter in the democratic setup.
The people of Punjab felt alienated from main stream due to denial of their just demands during a long democratic struggle since independence. As it happen all over the word, it led to militant struggle with great loss of lives of military, police and civilian personnel. Killing of Indira Gandhi and massacre of innocent Sikhs in Delhi and other India cities was also associated with this movement.
Model Attribute Check Company Auto PropertyCeline George
In Odoo, the multi-company feature allows you to manage multiple companies within a single Odoo database instance. Each company can have its own configurations while still sharing common resources such as products, customers, and suppliers.
Students, digital devices and success - Andreas Schleicher - 27 May 2024..pptxEduSkills OECD
Andreas Schleicher presents at the OECD webinar ‘Digital devices in schools: detrimental distraction or secret to success?’ on 27 May 2024. The presentation was based on findings from PISA 2022 results and the webinar helped launch the PISA in Focus ‘Managing screen time: How to protect and equip students against distraction’ https://www.oecd-ilibrary.org/education/managing-screen-time_7c225af4-en and the OECD Education Policy Perspective ‘Students, digital devices and success’ can be found here - https://oe.cd/il/5yV
We all have good and bad thoughts from time to time and situation to situation. We are bombarded daily with spiraling thoughts(both negative and positive) creating all-consuming feel , making us difficult to manage with associated suffering. Good thoughts are like our Mob Signal (Positive thought) amidst noise(negative thought) in the atmosphere. Negative thoughts like noise outweigh positive thoughts. These thoughts often create unwanted confusion, trouble, stress and frustration in our mind as well as chaos in our physical world. Negative thoughts are also known as “distorted thinking”.
The Indian economy is classified into different sectors to simplify the analysis and understanding of economic activities. For Class 10, it's essential to grasp the sectors of the Indian economy, understand their characteristics, and recognize their importance. This guide will provide detailed notes on the Sectors of the Indian Economy Class 10, using specific long-tail keywords to enhance comprehension.
For more information, visit-www.vavaclasses.com
Read| The latest issue of The Challenger is here! We are thrilled to announce that our school paper has qualified for the NATIONAL SCHOOLS PRESS CONFERENCE (NSPC) 2024. Thank you for your unwavering support and trust. Dive into the stories that made us stand out!
Synthetic Fiber Construction in lab .pptxPavel ( NSTU)
Synthetic fiber production is a fascinating and complex field that blends chemistry, engineering, and environmental science. By understanding these aspects, students can gain a comprehensive view of synthetic fiber production, its impact on society and the environment, and the potential for future innovations. Synthetic fibers play a crucial role in modern society, impacting various aspects of daily life, industry, and the environment. ynthetic fibers are integral to modern life, offering a range of benefits from cost-effectiveness and versatility to innovative applications and performance characteristics. While they pose environmental challenges, ongoing research and development aim to create more sustainable and eco-friendly alternatives. Understanding the importance of synthetic fibers helps in appreciating their role in the economy, industry, and daily life, while also emphasizing the need for sustainable practices and innovation.
How to Make a Field invisible in Odoo 17Celine George
It is possible to hide or invisible some fields in odoo. Commonly using “invisible” attribute in the field definition to invisible the fields. This slide will show how to make a field invisible in odoo 17.
How to Create Map Views in the Odoo 17 ERPCeline George
The map views are useful for providing a geographical representation of data. They allow users to visualize and analyze the data in a more intuitive manner.
Welcome to TechSoup New Member Orientation and Q&A (May 2024).pdfTechSoup
In this webinar you will learn how your organization can access TechSoup's wide variety of product discount and donation programs. From hardware to software, we'll give you a tour of the tools available to help your nonprofit with productivity, collaboration, financial management, donor tracking, security, and more.
9. What if we just started over?
https://paulgrzelak.files.wordpress.com/2014/10/burn-a.jp
10. What kinds of thinking was a course
like algebra meant to foster?
Problem solving
Abstract thinking
Process thinking
Critical thinking
Proving things
19. Let’s build Algebra 2.0
(note: not a fully inclusive list, just a start)
Basic algebraic manipulation
Linear functions
Systems of equations
Exponential functions
Boolean algebra
Algorithms
ER Diagrams
Database queries
Business Information Graphs
Information visualization
20. Want to stay informed?
busynessgirl.com
tinyletter.com/busynessgirl
twitter: @busynessgirl
facebook.com/ibusynessgirl
Want to help or fund it?
email: busynessgirl@gmail.com
55. Research…
๏ Less than 10% from PreAlgebra
make it through a Transfer Level
Class
๏ Even worse for students of color
and first generation college
students
56. Co-Requisite Support
๏ Intermediate Algebra + Support
๏ Statistics + Support
๏ College Algebra + Support
๏ PreCalculus + Support
๏ Business Calculus + Support
61. RSI: What Is It? And
Why Does the DOE Care
About It?
Fred Feldon
Coastline Community College
42nd AMATYC Annual Conference
November 18, 2016, Denver, CO
62.
63. One Week of a Student’s
Electrodermal Activity (EDA)
Poh, Swenson & Picard, 2010
http://affect.media.mit.edu/pdfs/1
0.Poh-etal-TBME-EDA-tests.pdf
64. “Some people talk in their sleep.
Lecturers talk while other people
sleep.” -- Albert Camus, 1913-1960
Cited by Eric Mazur in “Twilight of the Lecture,” Harvard
Magazine, March-April, 2012
65. “There must be far less
telling on the part of the
teacher, and far more
doing on the part of the
student.”
-- Jean Piaget, 1896-1980
68. What a Student Who
Resisted Learned:
“Not only can you learn on your own,
you already do learn on your own and
you will continue to learn on your own
for your whole life!”
-- Robert Talbert, Chronicle of Higher Education, “An
Inverted Calculus Course: The Overture,” Jan 27, 2014
69. • Professors Nancy Lape, Karl Haushalter, Rachel Levy and
Darryl Yong received an NSF grant to study the effects of the
flipped classroom on students’ learning… Results suggest the
benefits of flipping a classroom are dubious.
• “If you’re not a good instructor, flipping the classroom won’t
really ensure better learning. If you aren’t doing something to
fill the space, it won’t do you any good.
www.usatoday.com/story/news/nation/2013/10/22/flipped-classrooms-
effectiveness/3148447
www.usatoday.com/story/news/nation/2013/10/22/flipped-classrooms-effectiveness/3148447
70. Another Caveat…
Modern ‘reform’ is taking place at
the wrong end… They put the cart
before the horse, lipstick on the
pig. Group work! Technology!
Inquiry learning! Flipped
classroom!
We need to reform mathematical
substance, not pedagogy… The
question isn’t, “How can we make
students understand Concept X?”
We must ask, “Should we even
teach Concept X in the first place?
If so, why?”
72. The DOE Is Looking for…
Instructor-initiated,
Regular
and Substantive
Interaction!
$ $$ $
73. U.S. Department of Education Code of Federal
Regulations, Title 34, Subpart A, Paragraph 602.3
establishes that correspondence courses do not
qualify for Title IV federal financial aid, and that
Distance Education is distinct from Correspondence
Education (2015, p.12).
Similar stipulations exist in the California Department
of Education California Community Colleges Distance
Education California Code of Regulations; and in the
Accrediting Commission for Community and Junior
Colleges (ACCJC) Guide to Evaluating Distance
Education and Correspondence Education.
74. Define Regular: Instructors shall interact weekly with online
students for a duration equivalent to onsite classes.
Interaction and feedback will be personal (as opposed to
computer-generated).
Define Substantive: Feedback is academic rather than
administrative. Instructors shall initiate scholarly dialogue
and require student-to-student and student-to-teacher
interactions.
Define Interaction: Dynamic synchronous or asynchronous
academic, timely and reactive announcements; chat rooms
with instructor participation; discussion board; e-mails;
messaging; phone calls; review sessions; rubrics; social
networking; video conferences; webcats; webinars;
podcasts; etc.
75. Define Non-Interactive: Announcements, e-mails,
messages, etc. that are administrative; course
orientations; discussion board messages with non-
academic or administrative content such as generic
praise or clarification of class policies; Internet resources,
links to external sites; computer or publisher-generated
or pre-loaded content; webcasts, webinars, podcasts or
other audio-video material that are generic, impersonal,
passive or non-timely.
76. How Do You Get It??
• Non-routine problems
• Current events
• Comics, cartoons, movies & videos
• “Hot Tips” for the exams
• Extra Credit
• Group Projects
• Funnel phone calls, e-mails, and ALL student
questions and concerns to a Discussion Forum
• Require participation as part of their grade
• Model the behavior you are trying to get them to
emulate
78. Sources for Non-Routine Problems That Stimulate Discussion
Books
Math Contests Grades 4-6, by Conrad & Flegler, Math League Press
Math Contests Grades 7-8 and Algebra, by Conrad & Flegler, Math League Press
Math Contests High School, by Conrad & Flegler, Math League Press
Principles to Actions: Ensuring Mathematical Success for All, NCTM
The Scientific American Book of Mathematical Puzzles and Diversions, by Martin Gardner,
Empowering Students by Promoting Active Learning in Mathematics, NCTM
What Students Abroad Are Expected To Know About Mathematics: Exams from France, Germany and
Japan
Challenging Math Problems, by Terry Stickels (or any of his other books)
Websites
http://mathforum.org/problems_puzzles_landing.html
http://cemc.uwaterloo.ca/resources/potw.php
https://www.mathcounts.org/resources/problem-of-the-week
https://www.math.purdue.edu/pow
http://orion.math.iastate.edu/ehjohnst/PoW/PoW.html
http://www.numberphile.com http://www.openmiddle.com
http://www.sixtysymbols.com http://www.estimation180.com
http://mathmistakes.org https://twitter.com/ExploreMTBoS (Math Twitter Blogosphere)
http://www.sciencealert.com https://twitter.com/MathVault
http://www.iflscience.com http://wodb.ca (Which One Doesn’t Belong)
http://www.ted.com http://www.visualpatterns.org
http://www.smartereveryday.com http://www.mathleague.com
https://www.youtube.com/channel/UC1_uAIS3r8Vu6JjXWvastJg (Mathologer)
Journals
Journal for Research in Mathematics Education, NCTM
Mathematics Teacher, Monthly Calendar Problems, NCTM
Mathematics Teaching in the Middle School, Monthly Palette of Problems, NCTM
82. AIM Open Textbook Initiative
The American Institute of Mathematics
(AIM) seeks to encourage the adoption
of open source and open access
mathematics textbooks…The Editorial
Board maintains a list of Approved
Textbooks…
http://aimath.org/textbooks /
83. You can be more than a consumer!
๏ AIM encourages authors to
provide not only pdf documents,
but also a mechanism for
improving the book.
๏ If authors provide the source files
from which the pdf documents are
produced, the academic
community can directly adapt and
improve the textbooks.
84. Mathbook XML, a.k.a. MBX
๏ Rob Beezer (U. Puget Sound) has
developed (and continues to develop)
authoring tools for creating textbooks,
specifically open math textbooks.
๏ These tools can convert your (properly
marked-up) source files into pdf’s (via
LaTeX), with textbook publisher
quality output…
85. Mathbook XML
๏ …but MBX can also convert your text
into html documents (or even ePub
documents) so that you and your
students can view the content on
mobile devices.
๏ The MBX team designs their tools to
help authors attend to accessibility
issues.
๏ MathJax displays the math notation…
86. Mathbook XML
๏ …and MBX can automatically create
bells and whistles such as
• TOC with hyperlinks
• Index with hyperlinks
• A collection of “Answers to selected
exercises” in the appendix
• Hints, solutions, etc., hidden in “knowls”
87. knowls
๏ A knowl is link that reveals, by
creating space around it, information
the author wants easily available but
does not want to be initially cluttering
the screen.
๏ Possible uses: Hints, solutions,
definitions, proofs, …
93. Undergraduate Teaching in
Mathematics with Open Source
Software and Textbooks
(UTMOST)
The NSF grant-supported UTMOST
project supports the Sage Cell
server, SageMathCloud, MathBook
XML, and AIM Open Textbook
Initiative
97. What do you need?
๏ A computer with internet access
๏ Time and willingness to learn
98. What will you use?
๏ A (plain) text editor to format content
๏ A command line interface to convert your
document into html and/or pdf
๏ Mathbook XML support
https://groups.google.com/forum/#!forum/mathb
ook-xml-support
๏ GitHub to refresh your version of MBX and
possibly to collaborate on your textbook
99. Find more information
๏ American Institute of Mathematics (AIM) Open
Textbook Initiative http://aimath.org/textbooks/
๏ Mathbook XML (a.k.a. MBX)
http://mathbook.pugetsound.edu/
๏ Undergraduate Teaching in Mathematics with
Open Source Software and Textbooks
(UTMOST) http://utmost.aimath.org/
๏ January 2017 Joint Math Meetings (Atlanta):
OER sessions, MBX workshop, Electronic
poster session
101. Pie vs. Pi
Helping Students Visualize Radians
๏ Anne Praderas Vance
๏ Austin Community College
๏ anne.vance@austincc.edu
102. I hate it when students…
๏ …convert everything into degrees, ‘cuz
๏ …have no idea where radian angles
terminate:
"I get 150º, but
5p
6
is just WEIRD."
104. Motivation
Ahh, RADIANS! Students…
…can’t see ‘em.
…can’t draw ‘em.
…can’t think ‘em.
Students need a new way to visualize
fractions, and thus, understand radians.
105. What is a radian, anyway?
An angle with its vertex at the
center of a circle that intercepts
[yell Whoop if you read this] an
arc on the circle equal in length
to the radius of the circle has a
measure of 1 radian.
106. Let’s play “The Slice Is Right”
When will = 5 cm (the radius)?
110. Snowboarders could use radians!
๏ Triple Misty: 1080^ 1620< means
6π rotations going up, 9π rotations to the left
๏ Nose Picker: 1080^ 900< means
6π rotations going up, 5π rotations to the left
111. Just like (someone else’s) Mom used to make
1 Whole Pie:
½ of a pie ¼ of a pie
112. I like pi
1 Whole Pi
(π radians)
½ of a pi
½
1 Whole Pie
vs.
½ of a pie vs.
113. More ways to slice our pi
= one-fourth of a pi =
= one-third of a pi =
= one-sixth of a pi =
1
4
p =
p
4
radians
1
3
p =
p
3
radians
1
6
p =
p
6
radians
115. 3/3 = 1 pi
2/3 pi 1/3 pi
Start Here
6/6 = 1 pi
5/6 pi
4/6 = 2/3 pi
3/6 = 1/2 pi
2/6 = 1/3 pi
1/6 pi
Start Here
116. Halve you third the latest?
1/2 pi
2/2 = 1 pi Start Here
3/2 pi
5/3 pi4/3 pi
3/3 = 1 pi
2/3 pi 1/3 pi
Start Here
117. Don’t fourth me to be sixth
3/3 = 1 pi
11/6 pi
5/6 pi
10/6 = 5/3 pi
4/6 = 2/3 pi
9/6 =3/2 pi
3/6 = 1/2 pi
8/6 =4/3 pi
2/6 = 1/3 pi
7/6 pi
1/6 pi
Start Here
7/4 pi
6/4 = 3/2 pi
5/4 pi
3/4 pi
1/2 pi
1/4 pi
3/3 = 1 pi Start Here
118. Now trig will be easy!
(Assuming students already know about trig
ratios & the unit circle)
Find sin
5p
6 5/6 pi
4/6 pi
3/6 pi
2/6 pi
1/6 pi
Start Here
122. What does the word
algebra mean?
al·ge·bra
Noun: algebra
the part of mathematics in which letters and
other general symbols are used to represent
numbers and quantities in formulae and
equations
123. Is it really all about symbols?
Then Algebra is a mystery cult,
where strange symbols are used by
those few who belong.
Others are destined to be left forever
oblivious of the meaning of those
SYMBOLS
124. What is the meaning of the symbol
x2 ?
Is this x · x?
Is this a number multiplied by
itself?
Is this the area of a square
whose side has length x?
125. Which meaning is more helpful for
a learner?
All of them!
To explain any mathematical
concept we should combine
numbers, words, illustrations, and
symbols.
126. Unfortunately very little attention
is given to geometric
representations
of algebraic formulas in modern
algebra textbooks.
Next few slides will ask you to
“read pictures”
in words and in symbols.
127. What do you see?
A square with a side (x + 1) or four rectangles
(x + 1)2 = x2 + 2x + 1
x
x
1
1
128. What is emphasized
by this shading?
The distributive property of
multiplication over addition
(x + 1)2 = x∙(x + 1) + 1∙(x + 1)
x
x
1
1
129. What if the same parts
are rearranged?
Consider a rectangle
that encloses all these parts
(x + 1)2 = x∙(x + 3) – 1∙(x – 1)
x
x
1 1 1
x – 1
130. Here is a different
arrangement.
What is the area of the large rectangle?
x∙2x or 2x2
(x + 1)2 = 2x2 – x∙(x – 2) + 1
x
x
1
1
x – 2
x 1
131. Can you see the difference
of two consecutive squares?
(x +1)2 – x2 = x + (x + 1) = 2x +1
Does this mean that any odd number is the
difference of two consecutive square numbers?
So which two consecutive square numbers
have the difference of 27?
x
x
1
1
132. These and other ideas on
how to make sense
of algebraic formulas using
illustrations, words and numbers
are presented in my book
Make Friends with Algebra
One Picture at a Time
133. ๏ Presented by: Wendy Pogoda
๏ Hillsborough Community
College
๏ wpogoda@hccfl.edu
Combinations &
Permutations:
Order Mattering Doesn’t Matter
134. Typical Combination and
Permutation Questions
How many ways can five
students be selected out of a
class of 20?
How many ways can eight
friends sit at a bar with four
chairs?
How many ways can 15 make
a committee of 10, with one
secretary & two co-chairs?
136. Now We Ask Our Students to
Solve a Problem…
Do we use combinations
or permutations?
Combinations!
Permutations!
137. Problem: How many ways
can we knock down 8 pins?
๏ It’s combinations – order does NOT matter
138. It’s not our teaching!
๏ “Order mattering” is confusing!
๏ Students will ultimately look for key words
- Sample -> Combinations
- Racing -> Permutations
- Committee -> Combinations
139. Key words are misleading!
How many ways can 20 racers place if:
๏ Top 3 get gold, silver, and bronze?
- 20P3
๏ Top 3 get blue ribbons, everyone else gets
participation ribbons?
- 20C3
๏ Top 3 get gold, silver, and bronze, next 10 get
You Rock! ribbons, everyone else gets
Fabulous Effort! ribbons?
- 20C13*13C3*3P3
142. Make it a Word!
๏ Line up the 20 racers.
๏ Assign each a letter representing a prize.
B B B L L L L L L L L L L L L L L L L L
๏ How many ways can we rearrange these
letters?
143. B B B L L L L L L L L L L L L L L L L L
๏ How many ways can we rearrange these
letters?
20!
3! 17!
= 20 𝐶3 = 1,140
Letter Count
B 3
L 17
Rearrange the letters
144. Case 2: Permutations
How many ways can 20 racers place if top 3
get gold, silver, and bronze metals?
G S B L L L L L L L L L L L L L L L L L
145. Rearrange the letters
G S B L L L L L L L L L L L L L L L L L
How many ways can we rearrange these
letters?
20!
1! 1! 1! 17!
= 20 𝑃3 = 6,840
Letter Count
G 1
S 1
B 1
L 17
146. Case 3: Mixture
๏ How many ways can 20 racers place if top
3 get gold, silver, and bronze, next 10 get
You Rock! ribbons, everyone else gets
Fabulous Effort! ribbons?
G S B R R R R R R R R R R F F F F F F F
147. Rearrange the letters!
G S B R R R R R R R R R R F F F F F F F
๏ How many ways can we rearrange these
letters?
20!
1! 1! 1! 10! 7!
= 133,024,320
Instead of 20 𝐶13 ∙ 13 𝐶3 ∙ 3 𝑃3
=
20!
7! 13!
∗
13!
10! 3!
∗
3!
0!
Letter Count
G 1
S 1
B 1
R 10
F 7
148. Harder Question
๏ You have 20 employees.
๏ 13 will work on Christmas Eve, but 4 of those
will only work a half-day and 2 will only work to
stock in the morning.
๏ Of the remaining employees, 3 will have to work
the evening of Thanksgiving. How many ways
can this be done?
Holiday Assignment Symbol Count
Christmas Eve All Day C 13 - 6 = 7
Christmas Eve Half Day H 4
Christmas Eve Stock Shelves S 2
Thanksgiving T 3
No Assignment (Lucky!) L 20 – 16 = 4
149. Harder Question (cont.)
Done with distinguishable permutations:
20!
7! 4! 2! 3! 4!
= 69,837,768,000
Done with combinations:
20C16 *16C13 *13C6 *6C2 =
20!
4!16!
∙
16!
3!13!
∙
13!
13!6!
∙
6!
4!2!
Symbol Count
C 7
H 4
S 2
T 3
L 4
150. Benefits
๏ One formula explain them all!
๏ Built in self-check
๏ Illustrates why 0! = 1
๏ Illustrates why nCr = nCn-r
๏ Facilitates the memorization of nCr and nPr
formula.
154. Why am I Storyboarding?
๏ First Step in Creating
instructional videos
๏ Pre Calculus
Redesign Grant
- Repository of Videos
available to ALL
students in these
courses
๏ Consult with
Instructional
designer, Jennifer
Stanigar, Ph.D.
155. What is Storyboarding?
๏ Sketch of how visual
elements are
displayed in
sequence along with
narration in an
instructional video
๏ Used power points
for existing lectures
in storyboard and
added narrative
script
156. My First Storyboard
๏ Narration in left column
๏ Corresponding slide in
right column
๏ Used to create voice
over and transcript for
the video
๏ Jennifer advanced the
corresponding slides in
right column and
recorded my
narration…
159. Jennifer’s Guidelines for
Narration
๏ “Using voice to project
enthusiasm”
๏ “Practice narration and
then listen to self-
evaluate”
๏ “Appropriate use of
pauses for learning to
think about questions”
Twinning sign at Dull village, Perth and Kinross, Scotland by
Peter Mercator licensed under CC by 3.0
166. Jennifer's Guidelines for
Content
๏ Provide 2 or 3 examples step by step, and
describe what you want to appear on the
screen under the "Video/Screen/Actions"
column
177. Thanks for your request. How can we
help out with your college algebra
course?
I have college algebra in the spring. I
already failed it once and I’m hopeless.
How much would it cost for you guys to
take it for me? It's on mylabsplus and all
the work is online. Except for the final.
It's proctored. 😊
Hi Scott, No problem. Do you have the
syllabus?
178. Thanks for your request. How can we
help out with your college algebra
course?
I have college algebra in the spring. I
already failed it once and I’m hopeless.
How much would it cost for you guys to
take it for me? It's on mylabsplus and all
the work is online. Except for the final.
It's proctored. 😊
Hi Scott, No problem. Do you have the
syllabus?
179. Here’s the syllabus. What do you
think? There’s a proctored final. How
much for an A?!
How many weeks are left in the
course? What assignments
remain? What is your current
grade?
Oh no. I gave up and dropped it. I
plan to retake it with the same
instructor in the spring.
180. Here’s the syllabus. What do you
think? There’s a proctored final. How
much for an A?!
How many weeks are left in the
course? What assignments
remain? What is your current
grade?
Oh no. I gave up and dropped it. I
plan to retake it with the same
instructor in the spring.
181. I would have to see a course syllabus
to give you a definitive price, but the
price would be around $699. For an
algebra course, we guarantee an A
average on all work completed by the
tutor.?
The class has a proctored final but you
take it on a computer. Can the tutor still
take that too?
182. I would have to see a course syllabus
to give you a definitive price, but the
price would be around $699. For an
algebra course, we guarantee an A
average on all work completed by the
tutor.?
The class has a proctored final but you
take it on a computer. Can the tutor still
take that too?
183. Maybe. It's in Mymathlab. I've never
took it.
We can definitely help out with
the proctored final, we have a
work around that is very
successful.
Is it done through proctor
u?
184. Previously…
I checked with the teacher and they
do not use proctoru. They said i will
need to schedule a time at the
assessment center on campus. I
have to take an id.
We guarantee that it will work or
your money back as long as it's
done through proctoru.com
185. Previously…
I checked with the teacher and they
do not use proctoru. They said i will
need to schedule a time at the
assessment center on campus. I
have to take an id.
We guarantee that it will work or
your money back as long as it's
done through proctoru.com
186. Can you find out more about the
software they are going to use , if
any to prevent cheating? We've had
success in testing centers but if it is
a one on one thing with you and a
proctor, it might be an issue.
187. We can try to make it happen but in
this case there is no guarantee for
success
I know they use something called a
lockdown browser. A friend told me that its
basically a small computer lab they dont let
you bring much in so it isnt really one on
one.
188.
189.
190.
191. Cheatin’ Ain’t Cheap
๏ Scott.McClendon@kctcs.edu
๏ Youtube Channel:
mcclendonmath
๏ Somerset Community College
๏ Somerset KY