My New Favorite Calculus App!

Little AppI was a Calculus teacher for years and I was always looking for ways to provide better visualization of concepts for students.  I used  colored chalk on the chalkboard, hand-built models, Mathematica, Geometer’s Sketchpad, TI and HP graphing calculators, and animated gifs but I’ve never quit looking.

A new app from David Little called “A Little AboutCalculus” is anything but little.   This $0.99 app is a little price to pay for the amazing math in this app.  (Click on the pictures to enlarge the photos and see what is in the menus and on the screens!)

The 3-D graphics; the ability to customize the screens, change the functions, the intervals, and the window; and the wide range of topics make this one of my new favorites.  A LITTLE Calculus is a collection of more than 70 interactive topics from a first year calculus course and meant as a great supplement for students and teachers.   It is available for the iPad, and iPhone.  Sorry android users – it’s not available for android devices (at least not yet). Here is a glimpse (much from the app description and screenshots from my iPad):
WashersTopics include:

  • Graph functions of one variable, as well as parametric and polar curves.
  • Investigate pre-calculus topics such as the equation of a line, graphing polynomials, Pythagorean Theorem, trig functions, etc.
  • Understand the fundamental notion of a limit from a formal or informal point of view.
  • Study rates of change using the ideas from differential calculus (secant & tangent lines, derivatives, Mean Value Theorem, Newton’s method, etc.
  • Calculate the area of a region or surface, length of a curve, & volume of a solid using the techniques of integral calculus.
  • Interact with parametric & polar curves (slopes, areas, arc lengths, etc.
  • Learn about sequences & series (geometric, harmonic, alternating, etc.) & approximate functions using Taylor polynomials.

Features:Cross-Sections

  • Customize each topic by changing any function, variable, and/or interval by electing from a variety of options.
  • Interact with every graph (drag to change the value of a variable or to move/rotate the graph, pinch to zoom, etc.)
  • Runs on iPad, iPhone, or iPod Touch with iOS 7.0 or later.
  • Fully functional built-in calculator.
  • No Internet required, except for initial download and updates.
  • No in-app purchases or advertising.

Find the download and more info at:
https://itunes.apple.com/us/app/a-little-calculus/id631866056?mt=8

Calculus
MultivariableSequencesPreCalcParametrics Photo Feb 01, 2 34 32 PM

Posted in Calculus, Common Core, Math Modeling, Technology | Tagged , , , , , , , , , , | Leave a comment

Delicious Lessons in Calculus

I gave a Calculus workshop.  The conference was full of hands-on math workshops for teachers, mostly from the city of Chicago – amazing teachers! I was asked to give a hands-on workshop for pre-calculus/calculus teachers and immediately thought of volume and prepared the workshop. In the hour and 15 minute session, I planned to explore volumes of solids created with known cross-sections with oranges, cupcakes, and ending with making a Styrofoam model for them to take back to their classrooms. If time allowed, ideas for hands-on activities for volumes of solids of revolution, but we didn’t get that far.

Orange_cupcake

What I did not expect was that in my workshop were: 1 Calculus teacher, 1 pre-calc teacher, 1 art teacher, some middle school science teachers, math teachers that did not teach calculus, and a middle school teacher who had never had calculus (and hated geometry)! So, not only were there not a group of Calculus teachers, but I was intrigued why people came to this session. Was it food in the title? Curiosity? Last choice on their list and other sessions were full? No matter what the reason, this was my chance to see if I could make the ideas of calculus accessible to non-math/non-calculus people!!!!!

Area_formulasWe started with something they were familiar with – visualizing a deck of cards. They told me that they could find the area of a card. If we put them into a stack, they could see that the deck of cards also had volume, introducing the idea of summing the areas to find the volume.

Each person was given 1/2 of an orange and a knife. I asked them, “if I were to ask you what the base of your orange was, what would it be?” All of them quickly identified the cut side of the orange and placed it on the little cutting mat in front of them. I asked them to make a cut – but not through the center. They looked at the surfaces created and they correctly identified them as semi-circles. So, if you cut your half of an orange into more pieces in the same way and VERY thin, each piece would have an area that could be calculated but together they could be stacked and made 1/2 an orange which was more likely to be identified to have volume. We repeated the idea with a Little Debbie’s chocolate cupcake (no Hostess ones anymore – sad) and again they identified them as having trapezoidal cross-sections. We stopped and reviewed basic area formulas.

The Calculus

We looked at models using the concept of Riemann sums in 3-D to realize that if we cut the slices thin enough and put them back together that the model began to smooth out and look more like the original “orange.” They also realized that the model with thinner slices was getting closer and closer to having the same volume as the orange.

circle_formulas

It was time to introduce the calculus. With the help from Audrey Weeks Calculus in Motion files for Geometer’s Sketchpad, we watched the shapes being generated from one side of the circle to another using squares vs. semi-circles. It was easy to visualize the sides of the square going from sides of length zero to 4 (twice the radius) and back to zero, creating the solid with a base of a circle and cross-sections of squares. Next we decoded the notation of a defiinite integral that would calculate the volume of the solid and how it related to what we saw. integral

The area function A(x) was written in terms of x and is called the integrand. The limits of integration showed where the square started and where it ended up as it moved along the x-axis. The dx represented the infinitely thin thickness of each cross-section, The integral sums those areas calculating the volume of the solid. I realize that it might be a bit simplified but it made the calculus make sense with what they saw. I didn’t teach them how to integrate – just how to set up the integrals. There are sites on the Internet that will do the integration like the Definite Integral Calculator and I think it is more important to know how to set them up and take the mystery out of the notation!

OrangeCrossSectionsThe Models

What I saw was awesome. Everyone asked great questions, showing that they were invested in the process, and intent on understanding how the integral was set up to find the volume of the “smoothed out” solid made of infinitely thin cross-sections. The artist was relating the models and math to pottery and was trying to figure out how she could make the math accessible to her students. They all made models of solids with known cross-sections using styrofoam. They chose their cross-sections and I saw them making squares, equilateral triangles, semi-circles, and isosceles right triangles on a circular base.

styrofoam_models

foamcore_model

I will admit, that in the early years of my career, this workshop might have not made my list of workshops because I never saw the usefulness or the fun in calculus – scary to even type that. Even as a math major, Calculus was intimidating. My calc teacher in college was less than helpful (and was fired)! Once I wasn’t afraid of it anymore – with help from my friend Carol, a Calculus grant from HP and Oregon State in 1993, and having to teach Calculus, it became my goal to make sure that others never become afraid of MATH! I believe in the power of math and that all people need to find and use the power too!

The materials needed for this activity:

  • Presentation materials to download:  http://greenapples.wikispaces.com/Calculus
  • 1/2 orange and a cupcake (preferably one with a flat top!)
  • 8″ x 8″ or 12″ x 12″ squares of styrofoam – 2 per person: one to cut and one to mount the finished solid on – ours were 3/4″ thick and the home improvement store cut them for me for free! 4′ x 8′ sheets run around $10.
  • ruler, compass, cutting surface (cutting mat or board) per person
  • knife per person – just make sure to keep track of them in the classroom. Collect them 5 minutes before the bell and make sure you have all of them before they leave class!!!
  • glue and/or toothpicks to put the solids together
  • wet wipes and paper towels
  • optional: tablecloths to cover the surfaces to make clean up easier

I love the dollar store for these materials.

Posted in Technology, Geometry, Math Education, Common Core, Math Modeling, SMART Board, Calculus | Tagged , , , , , , , | Leave a comment

Tellagami  – Think of the Possibilities….

tellagami

While on Twitter I recently learned about the Tellagami App  and immediately I started thinking about how much fun it would be for students while allowing them to create ways to share their learning.  Formative and summative assessments might just be more engaging using Tellagami!

Tellagami reminds me a little of creating a Voki Avatar (http://Voki.com), a web-based tool.  Tellagami seems to be easier and quicker to learn and share, but has less free customization options that a Voki avatar offers.

Tellagami is a mobile app that lets you create and share a quick animated video called a Gami.  This app is designed for Android devices, iPhones, and iPads.  Get it on iTuneshttps://itunes.apple.com/us/app/tellagami/id572737805?mt=8 or Google Play – https://play.google.com/store/apps/details?id=com.tellagami.Tellagami

This app is EASY TO USE
Create a Gami in 3 easy steps:
1 – Customize a character and choose your background
2 – Record your voice or type a message for your character to say
3 – Share your Gami on Facebook, Twitter or send via text or email

Some of its FEATURES and a video tutorial makes it easy to find and use them.
• Mix and match your character & background
• Record your voice or type a message
• Resize character and place it in the scene
• Personalize with a photo background
• Share via Facebook, Twitter, email or SMS
• View Gami as a web URL on all devices

Possibilities for using Tellagami with students.

Here are some ideas for students in different classes:

  • Math – create mini lessons on shapes, theorems, or proofs; create an animated dictionary of mathematical terms.
  • Language Arts – create mini book reports or character studies for readings; prepare grammar lessons; describe characters from a book and let other students guess the character being described; create an animated dictionary of vocabulary.
  • Social Studies – create newscasts reporting on historical events;  give directions from a given spot on a map and have others follow the directions to find the destinations;  pretend to be a historical figure and tell their famous historical events from their points of view; create a debate between characters on two gamis
  • Science – prepare a documentary on elements in the periodic table;  describe biological attributes of things in nature/body parts; prepare reports on constellations and the stories that go with them; create an animated dictionary of scientific terms.
  • Art – pretend to be a famous artist and create an abbreviated autobiography; be a museum curator and describe a piece of art that could be displayed next to it in the museum.
  • Music – Create a musical tribute to a composer including a brief musical recording of his/her work.

What other possibilities can you think of for your students?

Resources for even more ideas and information.  This article was inspired by:

Posted in Algebra, Calculus, Common Core, Geometry, Technology | Tagged , , , , , , , , , | 1 Comment

Real Math + Students = Engagement

RealMathNeonStudents always ask, “When are we ever going to use math?”  They often say, “I don’t need math for the job I want.”  As teachers, we know that almost all jobs use math.  This assignment helped my students realize that math was everywhere and also introduced them to careers they may not have known existed or what people do at these jobs. This assignment REVOLUTIONALIZED my math classes. Students began to realize that they were in no position to decide what math they needed and what math they didn’t.  They just better learn the math and be prepared for anything!

When I started teaching, it became more important to have examples to share with students. As the Internet became more available,  it became easier to find examples.

Videos, the Web, the Library, and the Assignment

I wanted to get students thinking about this and came up with an assignment to help students start investigating the answer to these questions. Students in ANY math class can do this assignment and the same video can be viewed by different classes and you’ll get different observations. Little did I know how powerful the assignment was going to be, how much I would learn, and how fast it was to grade. Students needed to watch two-four videos and papers per semester.  For the first two, I took students time in the computer lab.  After that, students did this as an assignment outside class time with little, if any, resistance. Papers were saved to their class Moodle site to make accessing their papers easier than via emails.  A shared drive, Google Docs, or a DropBox would be great alternatives to Moodle for this assignment. For students without computer access at home, there were computers available before and after school and during the day in the media center. Below is the actual assignment and the grading rubric.  Please customize #2 before giving it to students. I changed it to Algebra concepts for Algebra, Geometry concepts for Geometry, Calculus concepts for Calculus classes, etc.

What’s Math Got to Do with It?

Each week when there is a movie to watch (on the Internet) and each movie averages about 5 minutes long.   Submit your final papers electronically. Take a few minutes (these will be short movies) and watch the movie, do a little research (use a book, a magazine, another Internet site, etc.), take some notes, and then write a paper at least one page long if word processed or 2 pages if hand-written. Please do not hand in a list of questions and answers. 1. What’s MATH got to do with the subject of the movie? (2 points) 2. Be more specific and find course concepts (i.e. replace this with “Algebra” concepts if you’re in Algebra, Geometry if you’re in geometry, Calculus if you’re in Calc, etc.) appear to be related to the subject of the movie? For ideas, look in your math book after watching the movie. Be specific and use correct mathematical vocabulary. (3 points) 3. Would you like to have this job? Why or why not? (1 point) 4. What other occupations (2 or more) might be related to this job or the math used in this movie?  (2 points) 5. What did you find most interesting, what was new to you, and/or did it make you think differently about math in the “real world”? (2 points) There must be at least one other source in addition to the movie website – another related website or magazine/newspaper article or other print material.  Please remember to cite your sources. (-1 if they are not given!) If your paper does not meet the following requirements -1 point . *Word-processed written paper must be at least one page long using a 12-point or smaller font (such as Times New Roman), not more than 1″ margins, and double-spaced. (submit these on Moodle) *Hand-written paper must be two pages hand-written. Reading papers can be time-consuming but these went really quickly and were easy to grade.  The time invested reaped great rewards! MovieEval Download the assignment as a Word Document: MovieAssignment Download the evaluations sheet as a Word Document: MovieEval

What I learned from student papers:

(examples of student work)

  1. Students stopped asking the question about when were they going to use the math. They started realizing that until they knew what they were going to do, they needed to be prepared to meet any math challenges and learn the math. Some of the people in the movies said that they didn’t know that they were ever going to use the math that they used in their jobs until they needed it.
  2. Some students didn’t even know some of the careers they saw in the movies existed and got excited that they were REAL jobs. I used more career related problems in my examples/homework.
  3. I learned more about my students, their experiences, their hopes and dreams, their interests, and more. I used this information in interactions with students, later assignments and when developing future projects.
  4. I realized that English teachers probably learned a lot more than I had about my students by reading their papers.  This might be why they were probably perceived as more “interested in them [students] as a person” than math teachers.  I got to know my students even better and it made a positive impact in the classroom.

Sites for good videos and resources for student research Here are some recommendations.

  • My all-time favorite: The Futures Channel http://thefutureschannel.com/– Do your students ever ask “What’s math got to do with it?” Here is a site that has videos that you can use to answer some of their questions. The “stars” are real people – some famous, some not, some young, some not, but all interesting and current topics. Movies are about 2 – 6 minutes in length – just perfect to begin or end a lesson. The videos change from week to week so sign up for their free newsletter that keep you up to date on the movies that are new for the week. (Just so you know, they are generally accessible for two weeks and then they are replaced so use them fast!) The Futures Channel uses media technologies to link scientists, explorers, and visionaries with today’s learners and educators. Videos on this site are very high quality and there are often lessons and activities to go along with the videos, making them easy to use in the classroom.
  • Math at Work Mondays http://www.mathforgrownups.com/category/math-for-grownups/math-at-work-monday/ – Look on this site on Mondays (and other days) for Math at Work Mondays for interviews (some videos) with people at work and how they use math in their jobs.
  • Head Rush Cool Jobs http://www.sciencechannel.com/tv-shows/head-rush/videos/cool-jobs-in-science.htm  – While this site is technically about cool jobs in science, there are several videos that relate to mathematics. For example, there is one video where a skate park designer describes how he uses shapes, angles, and trigonometry to create his skate parks. It is a great video for geometry classes.
  • Mathematics for Economics http://www.metalproject.co.uk/ -ME:TAL or Mathematics for Economics: Enhancing Teaching and Learning is an organization that creates videos and lessons illustrating to students the use of mathematical topics in the business world. For example, there is a video that shows two industries that use linear programming. The website is great to show students real life applications.
  • Careers Information http://www.mathscareers.org.uk/16-19/career_profiles.cfm.html – There are many career profiles/interviews at this site
  • Maths in Work videos https://www.ncetm.org.uk/resources/11329 – This includes many links to jobs including Designing Aircraft, Listening to Music, Experimenting with the Heart, Revolutionizing Computing, Beating Traffic, Scanning the Unseen Cat scan, Packing It In, Unearthing Power Lines, What to do with a Maths Degree, and much more  Learn a lot about 40+ careers and answer when math is used in each, including possible salary predictions
  • WeUseMath http://weusemath.org/?page_id=800 – Learn a lot about 40+ careers and answer when math is used in each, including possible salary predictions
  • 10 Amazing Jobs You Could Land with the right STEM Education http://mashable.com/2013/02/05/10-awesome-stem-jobs/

=================================================================== Additional resources you might be interested in

  1. NAPmathhttp://NAPmath.wordpress.com – this is my blog. I write when I have something to say/share.
  2. Green Appleshttp://GreenApples.wikispaces.com – a website full of resources for new MATH teachers (and veterans). Join the wiki and contribute to the pages. I use it with new teachers in my department and pre-service teachers. Teachers that helped developed the site include Nationally Board Certified in Math, Presidential Awardees in Math Teaching, state and local teaching awards, and most important, they are successful in the classroom.
  3. GeometryGemshttp://geometrygems.wikispaces.com/ – this site is dedicated to all things Geometry including activities, projects, SMART board files, paper folding, common core, and more.
  4. SmartBoardSmarty http://SmartBoardSmarty.wikispaces.com – If you have a SMART board in your classroom, go here and download free Math Notebook files, get step-by-step directions, tutorials, updates on SMART, resources, and lots more.
  5. ActivInspireAdventures http://ActivInspireAdventures.wikispaces.com – If you have a Promethean board in your classroom, check this site for resources, tutorials, free downloads, and more.
  6. Pinterest http://www.pinterest.com/napmath/ – find links to Math sites, math blogs, math journal and foldables, technology, iPad (and other Apple problems) resources, activities for QR codes, SMART/Promethean/Interactive white board resources, assessment and much more.
  7. Resource Garden http://resourcegarden.wikispaces.com/Planted+Gardens – need to find resources for graphics, sign and fancy Word Generators, photos, sounds, music, videos, flash/java, and free ways to edit sound, video, and graphics? This site has great links, copyright information, and lots more.
Posted in Algebra, Calculus, Common Core, Geometry, Math Education, Technology | Tagged , , , | Leave a comment

My Message to Parents about The MYTH of “I’m Bad at Math”

I just read, The Myth of “I’m Bad at Math”: Basic ability in the subject isn’t the product of good genes, but third work. By Miles Kimball and Noah Smith (Oct. 28, 2013) and it brought me back to a newsletter I wrote to parents in the 1990’s.  I’ve updated that message to parents and you’ll find it below.

My Message to Parents about The MYTH of “I’m Bad at Math”My Message to Parents about the Myth of "I'm Bad at Math"

Math is a subject that all students CAN learn and it will enhance their opportunities and their self-esteem later in life. Think about it.  When people find out that a person can do math, there is some sense of instant respect.

The Power of Mathematics opens doors to new knowledge and understanding. Math is not hereditary – there is no math gene (at least I don’t know of any!). One of the worst things any parent can tell their child is that they were “bad in math”, inferring or saying that it is why they are having trouble. Do not make excuses for students. If you do, their expectations (and yours) cost some children their math education.   I don’t remember ever hearing anything negative from either of my parents about mathematics.  We were expected to learn whatever we were supposed to. Later in life, I remember my mom say she didn’t know where I got my ability to do math but she was always doing some hands-on activity with her kindergarten students and my dad was always busy with some sort of problem, diagram, calculation, or busy building something.

As parents, we need to instill confidence in students. That confidence gives students the power to be persistent, work through challenging problems, and know with hard work, any progress on a challenging problem is success.  Over 37 years of teaching math, I watched how confidence transformed learning.  I have letters from students telling me that because I believed in them, that they now believe they can do math and are willing to put more time into doing math.  The best sense of achievement and boost of confidence comes from working hard on a “problem”, being frustrating with it, and persevering unit you figure it out by yourself!  No one can give anyone that feeling.  They have to earn it themselves.  (Good thing to remember as a teacher or a parent!)

A quick thought about math “problems”…. Is a real problem ever solved quickly or without thinking deeply? Keep this in mind – Quick “problems” are usually practice and a time to explore the different twists that might happen, not what I would consider to be “problems”.  Just because a person isn’t able to solve a problem as fast as someone else, does not mean that they are not good at math. Some people need a little more time to understand it, make sense of it, and mentally store it for access later. (By the way, that’s me.  Once “I get it”, I can build on it, retrieve it, and recreate that knowledge. Memorizing is not my forte but when I get it I can explain it to others!!)

“If you can’t explain it to a six year old, you don’t understand it yourself.” – Albert Einstein

Everyone needs math to understand the world around them and make sound decisions on the future using probability and statistics.

Encourage your child.

Expect nothing but the best! 

Believe that they can do math and tell them!

The tough part of math is the practice required to learn it well. But, let’s put it in perspective… Would a basketball coach put a player on the floor that didn’t show up to practice? Did Michael Jordan get good at basketball by watching other players play? Why should math be any different? Math takes practice – For most, 30-45 minutes per night is not expecting too much (a basketball practice is often a couple of hours per afternoon!). In the preparation for life, math should have a high priority, right? Every basketball player won’t be a “Michael Jordan” and every math student won’t become a professional mathematician, but everyone can develop a deeper understanding and a love or at least respect for both with practice.

Technology is changing the job market. No longer will there be jobs for students without mathematical reasoning skills. Students will not only have to do math but they will also have to communicate math and work together to solve problems. Jobs are being redefined. Employers are looking for a new kind of employee. Once students reach the job market, more and more of them will have to create their own job and market their own skills. Downsizing is beginning to make this a reality today. Many years ago I read a good book – The Monster Under the Bed by Stan Davis and Jim Botkin and it helped me to start to see the future with new eyes. Now there are more resources to read and think about.

Below are some additional sources (in no particular order) that I’ve found that might give you some good information as parents. I will continue to update this list to provide you with the best tools to be the best parent.  

What tip or thought do you have for parents? Please share your ideas with students and parents.  I welcome your comments and tips!!

Posted in Math Education, Technology | Tagged , , | 1 Comment

Twitterverse – You’ve changed my world!

It’s been 1 year since I’ve been actively using Twitter and made it a part of my PLN (Personal Learning Network).  Here’s what I’ve done to extend my PLN, keep learning, and start giving back to teachers and the teaching profession in my retirement. I love being a connected educator and it is great to write this article during Connected Educator Month #CE13.

STEP 1:  I started by seeking out people to follow in order to learn new things and find new resources.

STEP 2: As I went across the country doing workshops for teachers, I shared my Twitter contact information with my participants and all of the wonderful things I was learning from Twitter and my PLN.

Visit my Wikis!

Visit my Wikis!

STEP 3:  I started sharing some of my resources on my blog and wikis.  Teachers that used my school websites to access some of my projects started sending me emails when they were no longer available (now that I’m retired).  So, I tweeted where to find where to find them.

hastagSTEP 4:  I started looking into hashtags (#) and found that they were an easy way to search for conversations and collaborations on Twitter.  I started seeing conversations between people on Twitter and discussions centered around certain topics.

STEP 5: Hashtags (#) also led me into twitter chats and found these are amazing ways to connect with excited educators doing innovative things in their classrooms to enhance the learning of their students.  I have to admit I am a lurker on new chats to get the feel for the conversation and while I determine if  the chat is for me.  So, if you’re not sure, just do a search on the hastag for the chat and read the conversations – P.S. It’s a  great way to find others that you want to learn from too!  When looking for new chats/groups, I look at what is trending and that’s how I’ve found some of these amazing chats (and before I knew organized lists existed!)

TwitterChatshttps://docs.google.com/spreadsheet/ccc?key=0AiftIdjCeWSXdDRLRzNsVktUUGJpRWJhdUlWLS1Genc#gid=0

Some of my favorite chats:

  • Sundays:
    • #21stedchat – 21st Century Education Chat – 7 pm CST
    • #alg1chat – Algebra 1 Chat 8 pm CST
  • Mondays:
    • #edtechchat  – Educational Technology Chat – 7 pm CST
    • #tlap – Teach Like a Pirate – 8 pm CST
    • #iledchat – Illinois educators – 9 pm CST
  • Tuesdays:
    • #makered –  Maker Ed (k-12 classrooms built around Maker/DIY principles) – 5 pm CST
    • #PATUE – Palo Alto Twitter Using Educators (pedagogy and technology) 7 pm CST
    • #SMARTee  – SMART  Exemplary Educators  – 8 pm CST
    • #hsmath – high school math chat – 8:30 pm CST
  • Wednesdays:
    • #ntchat – New Teacher Chat – 7 pm CST
    • #geomchat – Geometry Chat (transitioning to Common Core) – 8 pm CST every other week (next on Oct 30)
  • Thursdays:
    • #mathchat – Math teachers chat – 6 pm CST
  • Fridays:
    • #calcchat – Calculus chat – 12:30 – 1:30 AM EST (yes right after midnight EST)
  • Saturdays:
    • #satchat – Saturday Chat (general topics)  – 6:30 – 7:30 am CST and 9:30 – 10:30 am CST

Step 6: I gave my first webinar yesterday!  It was by no means perfect but I found out what it’s like not to see your audience or hear from them – very strange.  I built a nice #SMART notebook file for the participants, put it on the web for them to download, and have been hearing from them since the workshop.  Thank you for your comments and support if you were at the webinar.  I don’t have to wonder if you learned something new and found that it was not a waste of your precious time.  At last check over 90 people have downloaded the file (http://smartboardsmarty.wikispaces.com/ed2ed) and I today I woke up and saw this:

twitternumber

YAY!!!! Thank you to all of my followers on Twitter for having faith and interest in what I have to say.  Thanks to all of the people I’m following – I’m learning SO much.  So, if you’re on Twitter, consider following me.  Chances are that I’ll follow you back.  If you’re not on Twitter, consider joining and expanding your PLN.

For more information on Connected Educator Month (CEM), visit http://connectededucators.org/about-connected-educators-mission-goals/ and I love the resources and activities in the CEM Starter Kit – a free download at http://connectededucators.org/cem/cem-getting-started/ .  I’m participating and earning badges.  It’s sort of fun but I really don’t know what to do with them other than collect them.  I guess there must be more to learn.  If you know what I should do with these badges, let me know in a comment on this blog or tweet me @NAPmath.

ConnectedEd

Posted in Math Education, Technology | Tagged , , , , , , | 2 Comments

Academic Honesty in Question

Cheating? Really? Are you positive?

Cheating is sometimes a hard call and other times it is not even questionable.

Here’s my story:

One day I decided once to give my students extra time on an exam the next day because I had made it too long .  I was trying to be nice but maybe not one of my wisest decisions.  Looking back, it changed the way I wrote tests and administered them in the future – but I’m getting ahead of myself.

Someone took a copy of the test when he/she left class and shared it with friends. It was very evident that this had happened and a couple of students came to see me when they found out this out. It was also obvious that not all students saw it but most of them knew about it.  I couldn’t eat or sleep while I was trying to figure out what to do.  (Now students don’t even have to take the physical test if they can get pictures with their mobile devices.)  I gathered my facts and took them to the principal.  I laid out my plan, got his input, and made sure I had his support for what I was going to do. (Don’t forget to do this if you get in this situation! )  Next, I sent a letter home to parents, wrote another exam, and required all students to take it over since I couldn’t tell for sure who all were involved. It wasn’t a popular decision with all students or parents, but in my opinion, it was the most fair thing to do. The funny thing is, that some of the students I know were involved  had the parents who were most outraged that their child had to take the test over.  My whole body was a mess for a long time after and the relationship that I had with that class was back to the “prove to me you’re worthy of my trust.”   BTW, did I mention it was an AP Calculus class with potential valedictorians in the class, and that it was when I had a student teacher?

To make things worse

Now there are all sorts of other complications.

from http://kythana.deviantart.com/art/Cheat-sheet-nails-267741507 (check out the conversation on this page if you need more to think about!)

from http://kythana.deviantart.com/art/Cheat-sheet-nails-267741507 (check out the conversation on this page if you need more to think about!)

Here are some articles to check out and maybe help you think this through.  Warning: Don’t expect that all of your questions will be answered.

  1. Digital Tools Raise Questions about what is and what is not cheating by Katie Ash (August 21, 2013) –http://blogs.edweek.org/edweek/DigitalEducation/2013/08/students_need_more_guidance_on.html
  2. Read the stats about Harvard’s freshmen in the class of 2017 By  (Posted Thursday, Sept. 5, 2013 ) http://www.slate.com/blogs/moneybox/2013/09/05/harvard_cheaters_crimson_survey_finds_lots_of_cheating.html
  3. Moving from Cheating to Academic Honesty By Eugene Bratek – http://www.edweek.org/ew/articles/2012/10/17/08bratek.h32.html
  4. Cheating Runs Rampant:  No Child Left Behind has unleashed a nationwide epidemic of cheating. Will education reformers wake up?  by Daniel Denvir ( May 25, 2012) – http://www.salon.com/2012/05/25/cheating_runs_rampant/

What would you do if you saw or suspect students of cheating? 

Posted in Calculus, Common Core, Math Education, Technology | Tagged , , , | 1 Comment