Sunday, August 22, 2021

Making Sense with Movement!

One of my favorite learning activities is Walk the Line.  Students use their bodies and a Calculator Based Ranger (CBR) from Texas Instruments to create Distance vs. Time Graphs.  I am currently using a very old model TI-83 Plus Silver Edition calculator along with the older model CBR.  For my purposes, I find these older tools work quite well. 


This activity is a good ice-breaker for the start of a new school year.  Since I only have the one CBR, I have students come up in pairs to produce graphs while the other students work on Google Jamboard or on other activities.  Students can see the graphs as they are being created on a large screen TV in the classroom (I use a document camera).  When student teams finish creating a graph, they take the calculator back to their desks, take a photo of the graph using their Chromebooks to insert into a Jam (Students worked in pairs on a jam).  This may seem like a lot of #edtech for the first weeks of school, but these students had little difficulty learning how to use the camera on the Chromebooks or how to use the tools in Jamboard to create something special.  I talk them through the keystrokes on the Calculator after I set it up.

The best part of the activity is watching student faces light up when they begin to make sense of the graphs.  One student thought backward movement would create a decreasing graph until he actually began to move.  Curious faces turn into smiles and laughter as students ask "Can we do it again?!" No amount of lecture will give students a better understanding than creating these graphs with their own bodies.

You can find older versions of the Ranger in many online retail outlets for under $20 and the newer ones are around $80-$100.  

If you have any questions about this activity or want to toss around ideas about using a CBR with your students, please join the conversation on Twitter.

Follow me on Twitter!

@techknowmath

Find and grow your #PLN (personal learning network) and share your ideas for incorporating movement in learning!

Thursday, July 29, 2021

The Four C's of Learning

A new school year is about to begin and it is time to implement some of the professional development I have enjoyed on Twitter this summer with my #PLN. I was fortunate to attend several excellent training sessions, present at three others, read several books and listened to dozens of episodes of educational podcasts. One of the ideas that was a common theme in my summer training was giving students agency, voice and the opportunity to create and produce their own learning artifacts. Towards that end I have incorporated these four C's of Learning (based on the 4 C's of 21st Century Skills). We will be using these as our framework for portfolios and projects this year.

1. Creativity 

Students need to create and express themselves as they learn in an academic setting. Give students an opportunity to showcase their thinking with original works that bring out their personality and passion. Options include podcasts, presentations, posters and videos, and artwork. Students can insert sound, color, music, motion (including animation) and more. Not only does creativity make the learning more interesting to students, it also makes the learning more memorable.


2. Critical Thinking

Curriculum in schools does not often afford students an opportunity to think critically and deeply about ideas and events. Advertising, news and politics is now filled with spurious claims that are often void of reasoning. Now, more than ever, our students need to be equipped to challenge, analyze, question, research and make informed decisions about what is happening around them. With 21st Century tools, we can help students sort through all the information to better understand their world.


3. Communication
Students now have have tremendous access to high quality FREE tools to communicate their understanding Students can create graphs, tables, equations, models, audio, video, presentations and much more using tools like Google Workspace, the Desmos calculator and GeoGebra Notes. These tools are not just for academic settings.



4. Collaboration

Knowing how to work with others and work towards a common goal are essential skills. Students sometimes struggle with listening to another person's perspective, considering all options, leading others and/or allowing others to lead them. The classroom can be a safe space to learn about teamwork.



These lists will be used to start the conversation with students and parents.  Giving students non-traditional assessments that incorporate the 4 C's will be a big change for most of my students.  We will continue with some of the more traditional forms of assessment, but an ongoing and integral part of class will be developing these skills and gathering evidence that we are making progress.

I am excited to see what these students will create this semester.  If you are already using these 4 C's in your instruction, I would love to hear more about it.

Follow me on Twitter!


Find and grow your
#PLN (personal learning network) and share your ideas for incorporating the 4 C's for Learning!

Thursday, May 27, 2021

The Year that Changed Everything

So much has happened since the school buildings were closed down during the spring of 2020. 


The way we conduct classes, the explosion of #edtech tools and the way we teach or assess our students has been permanently altered since Covid-19 forced us all to take inventory of what really matters.  We discovered that a worksheet is not very tech friendly and access to technology is not always equitable.

Here are a few fundamental changes that happened in my classes this school year.


1. Portfolios and Projects 

For the first time in my career, I scaled back dramatically on large, summative assessments (multiple choice, standardized assessments) and replaced half my assessments with projects and portfolios.  Students were able to express themselves with art, videos (Flipgrid and Screencastify), sidewalk chalk, Google tools (slides, sites, Jamboard) and the results were amazing.  Their conversations revealed deeper understanding and help to illuminate misconceptions.  Students were allowed to submit projects early for additional feedback and questioning so they could modify and improve their work.  Reflections proved to be hard work for many students (none had done work of this nature in math classes before), but students rose to the challenge and learned how to explain their thinking and pay attention to their own learning and progress.  I intend to add student interviews to the portfolio process in the future to give even more opportunity for reflection and feedback. 

2. Test corrections

Since I administered fewer standardized tests this year, I decided to use some of the time I saved by having students correct every test as routine part of the process.  Corrections came in many forms: sidewalk chalk, whiteboards, videos, Google Docs and posters.  The extra time to rework and explain gave students plenty of opportunity to analyze their thinking and improve performance on subsequent tests.  Corrections also opened up more opportunities for creative expression (art, videos).  Sometimes test corrections took an entire class period, other times corrections were one part of an assignment.  In every case, the corrections gave me a chance to give additional feedback on student work to help students develop deeper understanding.  The grade on the test was not directly affected by the corrections (Corrections are a separate assignment), but since I allowed students to replace lower test scores with higher subsequent test scores learning the concepts became the focus (all tests are cumulative, so objectives are repeated on subsequent tests).  

3. New Collaboration Tools

I have been seating my students in pairs or groups for years.  When Covid-19 forced us apart, it meant giving up much of the collaborative group work until I found alternative virtual spaces.  Virtual tools I used for group work this year included Jamboard and Google slides.  We were blessed with new large whiteboards in the classroom, so using the Thinking Classroom model students can now collaborate again in small teams of 2 or 3 (with masks and with care!).

-------------------

There are many more changes (large and small) that happened during this school year, but it will take a summer to unpack it all and to tweak what worked as we begin to plan for 2021-2022.   Please join the conversation by sharing your stories about this school year!

Follow me on Twitter!

Find and grow your #PLN (personal learning network) and tell us how your teaching has changed this past year!

Susan Carriker

Tuesday, February 23, 2021

The Best Things in Life are Free


 Since March of 2020, we have all been grappling with the Coronavirus and all the difficulties related to delivering instruction virtually and in socially distanced classrooms. There are countless tools and resources available to organize and deliver virtual instruction, but some of those tools come with a hefty price-tag. I have tried both paid and free teaching resources, but I keep coming back to a few tried and true resources that are either free or very inexpensive. Here are the five #edtech tools I can not live without:


1. Mini-whiteboards w/Markers

This tool may not come to mind as a virtual option, but mini-whiteboards are easy to access and use for students (a whiteboard and marker is available for under $3 at most discount stores).  Students can use a mini-whiteboard to sketch, draw, write and explain their work.  Students can capture screenshots of work on a whiteboard and insert pics in a Google Slide, a Jamboard or Google Doc assignment.  Students can also use a whiteboard while doing a Flipgrid video to explain their thinking visually as they talk. The work on a whiteboard is easier to read than pencil/paper writing.  

2. Desmos Activities

The work at Desmos has been nothing short of spectacular the past year.  The number of pre-made activities on their website has exploded (some are particularly effective for distance learners).  They have developed and released a full middle school mathematics curriculum (for purchase with both digital and print resources).   There are hundreds more activities not listed on their teacher resource site that you can find by doing an ordinary Google search.  Desmos activities are a core component of my daily lessons.  I have developed a few activities of my own, but I prefer using activities of others while making a few modifications.  Scatter Plot Capture is a new activity I used this year that was particularly engaging for students.

3. GeoGebra resources

GeoGebra has also been hard at work the past year creating additional FREE resources for distance learners.  There are easy to use tools and apps for practice or review.  These resources can replace typical pencil/paper tasks and many come with immediate feedback.  You can create a classroom on any resource, but I prefer for students to take screenshots of their work and insert images into a Google Doc or Slide so I can check their work in Google Classroom.   

4. Graspable Math

Graspable Math is another tool we use regularly in my classes.  Students can manipulate expressions and type expressions and equations on a canvas with ease.  There is a whiteboard feature on the canvas where student write their work or mark up the problems.  Students can work through pre-made activities to get an intuitive understanding of the mathematics (even before you formally instruct them on the 'rules').   These activities can replace typical pencil/paper tasks and come with immediate feedback.  

5. EdPuzzle

Edpuzzle has been around for years, but is a fantastic FREE tool for delivering video content to students.  You have a full equation editor to author your own multiple choice questions.  Insert voice and text comments, use your own video content or any of the thousands of video resources already created by other Edpuzzle users.  I assign Edpuzzle videos to students through Google Classroom. Scores and viewing times are recorded in Edpuzzle for me to review.  I can reset a student who wants to watch again to improve their score.  You have a limit of 20 videos in your content library, but you can delete videos you no longer need to avoid paying for the premium version. 

------------------------------

If you are reading this blog, you have probably tried other FREE virtual tools with your students during the pandemic.  Share your ideas on Twitter and use the #MTBoS, #iteachmath and/or #edtech hashtags on your posts.  

Follow me on Twitter!

Find and grow your #PLN (personal learning network) and share what you have learned about delivering virtual instruction.

Susan Carriker

Thursday, December 31, 2020

Working to Lose My Job

I have taken time over the break to read some revolutionary books about math education (check out my resources page for links to a few) and to re-watch this video by Dan Meyer , and it has occurred to me that if these revolutionary voices become mainstream, it could result in the elimination of current mathematics classes which in turn would eliminate the need for traditional mathematics teachers.  I like to consider myself innovative and different from a traditional math teacher, but, in all honesty, much of the work that I do still revolves around very antiquated models of math instruction.  I have come a long way, but I have much farther to go.  I am also hamstrung by a system that is slow to change and is relentlessly pursuing higher scores on standardized assessments.The reasons we have not made the wholesale transition to better math instruction are many fold, but here are the top four reasons:

1. TEACHERS HAVE NOT EXPERIENCED QUALITY INSTRUCTION

Too often, math teachers have learned their craft by mimicking their own math teachers (regardless of how effective those teachers might have been).  Even some of my most gifted teachers were trapped in a system and curricula that did not inspire an appreciation for mathematics.  I spent the first 10 years of my career imitating my teachers and implementing traditional teaching practices following the familiar "I do, we do, you do" model with traditional texts, worksheets, explicit examples and independent practice.  Math instruction has improved marginally over the years since the teacher education programs and quality professional development have allowed the younger generations of math teachers to experience some of the newer (and more effective)  models of instruction, but the majority are still doing a lecture-style of instruction and with poor outcomes.

It is hard to produce a quality learning environment for students when you have not experienced a quality learning environment or authentic problem solving in a mathematics class.

2. INSTITUTIONS DO NOT EMBRACE TECHNOLOGY

Not too long ago, I found myself sitting in a workshop for mathematics teachers.  A professor from one of the largest universities in my state stood and lectured us about the evils of the graphing calculator.  We proceeded to listen to all the methods used to block access to technology for assessments and assignments.  I, of course, was outraged at this discussion, but since I represented a small minority in that group, I kept my frustrations to myself.  It was then that I realized that most teachers in my state have no idea how to use technology to teach mathematics in the 21st century because they have not been allowed to use those tools to learn the mathematics in their training programs.  

3. THE COURSES DO NOT EXIST in most schools

In most secondary schools in the United States, students are taking Algebra 1, Geometry and Algebra 2 or some integrated program of Algebra and Geometry.  In some schools there are Statistics and Calculus courses.  The standards being taught in traditional math courses include things like: Operations with Complex Numbers and Simplifying Rational Expressions.  Although real world modeling and statistics have been added into most secondary curricula, it is also true that teachers often skip those units of instruction to prepare for high stakes exams with drill and skill practice.  Courses that encourage innovation, problem solving, and authentic application are rare.  Very few mathematics teachers have ever taken or taught a problem solving math course of that nature.

4. THE STATUS QUO IS MAINTAINED BY THE POWERFUL

There are instructional materials companies, educational enterprises, and political groups that exist because of the current issues in math education.  Even though solutions may be available via free quality technology resources, those resources undermine decades of potential future profits.  The current systems are maintained by those in power that fear losing their positions.  We have the ability to connect quality educators and rich tasks with students in under-served areas of our states using instructional technology via the internet at a reduced cost, yet that conversation is not happening in our legislatures.  

Those in power prefer the status quo to undermining the current model.

In summary, if you are reading this blog, you are probably searching for answers to these problems.  It may be disheartening to know that there are many obstacles to transforming our mathematics classes.  I was recently challenged by a fellow math teacher who firmly believes the current system is perfectly fine and those who question it must not understand the purpose of math instruction (to work with abstraction and exercise the mind exclusively).   I am accustomed to being in the minority, but in this case, most of the world is on my side.  There are few outside of our profession that believe that most  mathematics taught in school is beneficial in the long run.

Join me in changing that perception by changing school mathematics.

If you are not already following me on twitter, I invite you to follow 

If you are ready to join the revolution to remake mathematics education, contribute to the conversation.  Find your #PLN (personal learning network) and share what you have learned to make mathematics more meaningful for students.

Susan Carriker

Thursday, December 17, 2020

My Favorite Shirt

When I look in my closet, I see my favorite shirt hanging up.  The color, the fit is perfect, and it is so very comfortable to wear.  But, when I look through the rest of my wardrobe I see several sets of pants and  shirts that I rarely or never wear.  Some of them may not fit anymore, others are uncomfortable or the style, color or fit is unflattering.  I think it is time to clean out my closet.    My collection of resources in Algebra is similar to my closet.  I have a few treasured lessons and virtual activities that engage students and are quite effective in helping students make sense of complex concepts, but there are many that I occasionally use, even though they are not that interesting or effective.  I think it is time to clean up my repertoire. 

DON'T SETTLE FOR UNINSPIRING LESSONS

At the start of the pandemic I began my quest for interesting and better resources to teach my students virtually.  I tried almost every virtual tool (that was free) before settling on a shorter list of resources that delivered the most effective experiences for my students.  These are the tools that will make the cut and will continue to show up in my lesson plans every week. 

Google Suite for Education

Desmos Graphing Calculator

Desmos Activities

GeoGebra Activities

Graspable Math

Flipgrid

Edulastic 

Mathigon

You may have noticed I left Google Forms off this list, but that was not an accidental omission. Since I have started using Edulastic for most of my assessments (formative and summative), I have discovered that Forms is not the best fit for a math class.  The time it takes to assemble and the lack of an equation editor for students make it more trouble than it is worth in most cases.  I will probably continue to use some of the Google Forms quizzes I have already created, but going forward I will likely use Edulastic (and other district provided programs) for assessments.

I have also stopped using the Desmos Activity builder (except to make minor tweaks to existing activities), and that one was a hard one to take out of my rotation!  I have discovered that the time it takes to build a quality, engaging, effective activity is better spent searching for ones that have already been created (I find good ones from #iteachmath on Twitter).  There are many thousands of ready-made activities that have proven to be very effective.  I don't have to build one from scratch to get the best learning outcomes.

What I have added to my rotation is creative projects!  Instead of giving students pre-assembled elaborate activities in Slides, Docs or Jamboard, I start with a BLANK slate and have the students create something brand new!  The results have been much better than expected.  Students are showing a greater depth of understanding when they have to make up examples, graphs, and equations and explain their work.  Below is an example of a project created by a student in Jamboard using Graspable Math and the Desmos graphing calculator.   He was reluctant at first, but he did an amazing job!

.

I will continue to refine my lessons next semester as I learn more efficient ways to give students experiences that will make the learning last.  The results on our district benchmarks during the first semester have convinced me that the textbooks, worksheets and other activities I had routinely used prior to the Covid 19 pandemic are inferior to the engaging activities made possible through virtual tools.

If you are not already following me on twitter, I invite you to follow my accounts 

If you have interesting ideas for upgrading your repertoire and cleaning out those uninspiring lessons, I would love to hear from you!

Susan Carriker