Showing posts with label math. Show all posts
Showing posts with label math. Show all posts

Sunday, November 23, 2014

Banning Worksheets or Prohibiting the Use of Cell Phones and CrayonsWon't Increase Student Learning

Banning worksheets or prohibiting the use of cell phones, crayons, or other tools in the classroom won't increase student learning. For any of you who read my blog regularly and know what I think about worksheets, you might be wondering why I would begin this post with a strong statement like this. You see, I've been thinking more about why (Thanks to my recent reading of Simon Sinek's book) we do what we do. My reading of this book collided with my attendance at a GAFE Summit (Google Apps for Education). Perfect. Instead of just complaining about the ongoing situation with worksheets, I can actually offer some solutions.

But first. A Story.

Several years ago when I was still teaching in a local high school classroom, the district conducted walk-throughs and decided too much coloring was happening in the schools.  Quickly, an across the board ban on crayons and markers ensued, and teens rebelled by wearing crayons on a piece of yarn around their necks (not because they wanted to color worksheets but because they felt their opportunity for creativity was being denied with an across the board ban on a tool). The idea of the ban was to make a point about the lack of meaningful tasks being completed in some classrooms. The problem with the ban is that it took away a tool (coloring instruments) instead of tackling the larger issue of poor instruction provided by some people. What do you suppose happened with this ban on a writing instrument? Did it improve instruction across the board?

Fast forward six or seven years to my experience now as a parent in this same district. My eleven year old son brought home a coloring sheet for homework recently. I emailed the nameless school to inquire as to the directions because I couldn't believe the directions were to color, but yes, the directions were to color tastefully and not to scribble. That was it. Now, keep in mind, this is an assignment given at one of our state's top performing schools. I refuse to blame the teacher because we have a problem with our system, and across the board bans on tools (crayons, or cell phones) clearly--

 A) do not stick over time,
and more importantly
B) do not improve learning experiences for all students.

Fortunately, we now have tools beyond worksheets and crayons, so let me share some options I learned about recently when I attended a  GAFE Summit. One of the sessions I attended was titled No More Worksheets. Here, Holly Clark, a NBCT and a Google Certified Teacher shared ideas with us for eliminating worksheets in classrooms. Thankfully, the ideas she shared were not merely electronic versions of paper handouts. Rather, she shared meaningful teaching ideas and tools for engaging students in relevant learning. She emphasized the importance of using the tools well so that students make their thinking visible. Obviously, all of the tools she shared could turn into their own type of worksheet if we aren't thoughtful about how and why we use the tools. Teaching isn't easy, but using tools properly can help ease the load and increase student engagement and learning.

Kahoot
A formative assessment tool (kind of like Are You Smarter than a 5th grader)

Socrative
Clark emphasized the importance of using the quick questions and non-multiple choice portions for deeper thinking.

PhotoMath
The point Clark made with this tool is that we must make sure to offer mathematics instruction that's more than a worksheet or series of problems in a textbook because now the problems can be scanned and completed by the computer. Watch the video--it could blow your mind!

Croak.it
This tool allows you to speak your answer (maybe use it as an exit slip?). You can even send responses to parents. If you set up a private croak and teacher site, you can avoid public site nonsense and inappropriate croaks.

Explain Everything
Here's another app that allows students and/or teachers to create a voice over on an interactive whiteboard. You can also annotate, animate, import and export presentations.

**Stay tuned for at least one more blog post on the GAFE Summit in Kentucky. I still have to share about the tools  Donnie Peircey shared for interdisciplinary learning.
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Photo credit: <a href="https://www.flickr.com/photos/sally_12/312460637/">*Sally M*</a> via <a href="http://photopin.com">photopin</a> <a href="http://creativecommons.org/licenses/by-sa/2.0/">cc</a>

Sunday, October 26, 2014

Sunday Salon: What I Read Online October 13-October 26

Social Studies has been an especially hot topic in the past couple of weeks, and since our family also recently visited historic Perryville Battlefield, I'll share history/social studies readings first.

Social Studies
Last Sunday I wrote a blog post about the draft social studies standards in Kentucky--standards aligned to the national C3 Framework. The post quickly became one of my most popular yet-I'm guessing because of the controversy. Anyway, if you missed it, check it out here.

A Kentucky teacher writes about how she appreicates the proposed Kentucky standards for social studies because they promote civic responsibility.

Thinking about Hybrids of Teaching for Historical Thinking by Daisy Martin on the Public History Weekly site is well worth your time and thought.


Common Core State Standards

Not surprising, since Kentucky was first to adopt and implement the Common Core State Standards, there's another great article/interview with the state education commissioner and former associate commissioner. 
Common Core interview with Dr. Terry Holiday & Dr. Felicia Cumings Smith

What the Common Core Did for My Classroom by middle school math teacher Brooke Powers is a post full with honesty and excitement sharing how her classroom is now alive with numbers.

Teacher Time & Leadership
This report compiled by Kentucky teachers for a national organization highlights the differences between the way teachers spend time here in America compared to teachers in other countries.

It's not planning time if teachers are told how to use it by Llana Garon provides more details from a teacher perspective about this issue of teacher time.

In an Education Report article, Barnett Berry writes more about teacher leadership. It's an article worth reading.


Student blogging, writing, and learning
These 11 year old bloggers amazed me & I think blogging for kids is a great way to provide an authentic audience for writing.

Teens at Eminence High are using authentic Project Based Learning to learn and change the world, for real. Read an update of their work in this blog by their principal, Shannon Treece.

This Washington Post article recommends having students internalize texts to become better writers, and I couldn't agree more.


Sunday, September 07, 2014

Sunday Salon: What I Read Online September 1-7

Homework practices

In this post Jason Bodnar talks about three types of homework and which one to avoid.

As a parent and an educator, I related well to this post by Donalyn Miller where she argues for more meaningful assignments and reading practices in language arts classes.

A Quebec elementary school is giving its students a year off from homework.

Teaching and Learning

Ashley Hurley, one of my Achieve EQuIP colleagues blogged about the ABCs of giving feedback to peers when they design lessons when she blogged for The Teaching Channel.

I, too, had the opportunity to blog for The Teaching Channel. It was a fabulous experience and opportunity to share ideas about how to calibrate on a rubric.

This excellent blog post by the National Paideia Center argues for more doing and less lecturing in our classrooms. I'm a huge advocate for the Paideia approach and like to use it in my class with pre-service students just as I did in my high school classroom previously. 

Lillie Marshall writes about effective uses for social media in teaching.

Sherri McPherson shares digital tools for providing feedback on student writing.

Sandy Merz deconstructs a teacher leadership cliche. My favorite line from this post is "like most clichés, this one intends to stop thought rather than deepen it. To deepen thought one needs to probe challenging views rather than dismiss them."

Science and Math

Patrick Goff reflects honestly in this post about questioning and modeling in his middle school classroom.

Both Patrick and Tricia Shelton are leading science educators in Kentucky, and they are involved in national conversations about the new Next Generation Science Standards. In this post, Tricia encourages others to blog about their NGSS implementation and learning.

I appreciate this math 101 reading list for life-long learners, and I added a few titles to my to-read shelf in Goodreads.

Kelly Stidham shares innovative tools for implementing new math standards.

 Other topics of importance to me

Walking! Since I still can't walk, and my body and mind are begging for it, I enjoyed reading this article "Walking Helps Us Think" and dreaming about a day coming soon when I'll be able to walk normally again.

 With sadness, I continue to watch the events happening in the Middle East. This post by Sarah Shroud offers thoughtful commentary.

Don't resist looking at these 52 Powerful Photos of Women Who Changed History Forever



Thursday, April 17, 2014

Talking with my 13 year old about Algebra & Daniel Tammet's recitation of Pi


Picking up my thirteen year old son from school is always a joy because it's the few minutes in our day when he's most talkative.  On a recent afternoon, he spent ten minutes on our drive home telling me all about his algebra class, how much he loves it, how much he's learning, and basically how curious he is about numbers.  Knowing how much he loves numbers, I was excited to tell him about a book I checked out from the library.  When I told him about it, he eagerly replied "What's the man's name?" When I told him Daniel Tammet was the author of the book, he started nodding his head with excitement because he watched a documentary about Tammet when he curled up on his bed one afternoon during one of our snow days this past winter.

 I read Daniel Tammet's Thinking in Numbers:  On Life, Love, Meaning, and Math for one of my books of the week in March, but decided to write about it in April since math and poetry connect rather nicely, and April is National Poetry Month.  For me there were many beautiful aspects to Tammet's ideas, but one of the parts that resonated with me most was about mathematics being flexible and not a rigid set of problems and procedures to memorize step-by-step.  That's the way I was taught math as a child and teenager, and I hated it because it allowed little room for thinking or exploring.  It was all about following the directions and procedures to get to an answer one way (and make sure you show your work using the procedure you were taught!).

Beautifully, Tammet references Charles Dickens writing about the dreaded multiplication tables.  Tammet then proceeds to describe different ways to reach the number 56.  A sampling of Tammet's explanation here from page 38-39 of his book.

56 = 28 X 2
56 = 14 X 4
56 = 7 X 8
56 = 3.5 X 16
56 = 1.75 X 32
56 = 0.875 X 64

Tammet goes on to write three or four pages about familiar forms being "simple and succinct but finely wrought."

Another favorite chapter titled The Admirable Number Pi struck a chord with me because of my son's interest in Pi.  Ethan watched parts of Tammet reciting Pi in the documentary.  Seeing my 13 year-old excited about a man reciting Pi was reason enough to like this particular chapter in Tammet's book.  But there's more reason as well.  When Tammet talks about seeing the infinite number Pi in phrases and images, I'm intrigued by the ideas, the art, the humanness of numbers.  Really, I've never thought about this before now--exciting for me as I continue learning to muse.

Finally, I must mention Tammet's numerous allusions to novels, language, rhetoric, and poetry.  Clearly he's read a wide range of authors and texts as he writes about ideas and topics presented in the works of many authors in the Western Canon, including Dante.  Specifically, he writes about one of Dante's sestinas and he dwells on the numbers associated with a sestina.

"Which is to say, the final word in line six of the first standa (1 2 3 4 5 6) reappears  as the last word of the next stanza's opening line (6 1 2 3 4 3), and at the close of the second line of stanza three (3 6 4 1 2 5), and so on.... (page 184)."

His explanations are too remarkable for me to tell you about in a simple paragraph, so all I can do now is recommend that you read the book for yourself and maybe then share your reading with a child who is interested in numbers.




Monday, February 10, 2014

How My Son Taught Me to Appreciate STEM

Lucky me.  13 years ago today I became a mom, and this parenting journey couldn't be any better.  From an early age, my oldest son has had an interest in STEM fields, and through him, I discovered that I have a great appreciation for science, technology, engineering, and math.  From my own perspective, art was already appreciated, and I enjoyed sharing art appreciation with Ethan. Together we appreciate not just STEM but STE(A)M (A--art).

Earlier this year, I read an Atlantic article by Jessica Lahey in which she shares how her dad taught her to appreciate STEAM, especially the design and creativity aspects needed to implement scientific and mathematical concepts.  Since reading this article, I began thinking about what I have learned to appreciate. I realized that I started to appreciate the STEM parts of STEAM about the same time I became a mom.

As a baby, Ethan's interest began with all things in nature...worms, caterpillars, trees, flowers, the ocean, the mountains, the stars.  He taught me to look and to listen when I carried him on my back as we hiked trails in the mountains of North Carolina, and he taught me to stop and observe the
greatness of our universe when he was walking on his own.  As he grew older we moved on to thinking more about how things work and move. We built with Lego blocks, looked through telescopes, rode trains, made energy from fruit, assembled circuit boards, made homemade bubbles and play dough, read books about everything science and tested a variety of energy sources.  Always, art was an essential part of our exploration as well.  We drew, painted, and created things for holiday gifts.

Since learning to count around age two and a half, it was apparent that numbers made sense to him.  Ethan didn't just count, he understood from an early age what numbers mean.  Mathematics became an area of strength for him,  and for some reason, he understands and makes sense of mathematical problems that I don't even contemplate (but I do appreciate!).

Around second grade an increased interest in all things solar powered took hold, and we soldered solar panels together, attended E-day at the University of Kentucky, and worked on a science fair projects for school.  In third grade he researched Thomas Edison and built a cardboard monograph for his biography presentation. Edison was his favorite because of his fascination with electricity, and for Halloween one year he even dressed as Edison, his favorite scientist and inventor.  His fourth grade science fair project investigated solar power versus battery power for toy train lights.

Toward the end of elementary school, a stronger interest in computers and video games developed, and everything Ethan knew about science, design, and art fed directly into his interest in technology.  Like many other children his age, Minecraft is a popular pastime.  With this video game, he's able to use all of his design creativity along with mathematical concepts and technology know-how. His next big plan is to build a computer, and he said this will be a father-son project.  I guess my role as mom and explorer is changing as my son grows and matures.  Even with these changes I will forever be grateful to this boy who has taught me to appreciate all things STEM because this is not an appreciation I expect to lose, only one I expect to continue developing.

Sunday, February 02, 2014

Why I Support the Common Core

 With continued backlash against the Common Core State Standards, I decided I should take some time to blog about why I support the standards as a parent and as an educator.  I do not support all the scenarios I've seen/heard regarding implementation (and companies trying to make a profit) but for the standards themselves--I support them.  Here's why--

My Point of View as a Parent

1.  My son's writing has improved because he's writing in his content classes (English, science, social studies).  He's not writing fluff either.  He's writing academic essays and research papers, the kind of writing he will do when he goes to college.

2.  My son gets to read the nonfiction texts he enjoys.  Because of the push to include more nonfiction texts, he's reading both fiction and nonfiction now, and that makes sense to me.  He also gets to select what he reads for indepedent reading (he often chooses fiction) because his teachers support effective literacy practices that encourage student choice in reading.  Now some would say that's the opposite of what the CCSS require, but I would argue that it's poor implementation and poor instructional practices that lead people down the path of no student choice in reading.

3.  My son is learning math that will help him as he pursues his interests in STEM fields.  Because he started learning the new math standards in elementary school, by the time he started middle school, he was ready for more intense math courses.  He's learning math now that I didn't learn until my high school years, and it's working for him.  He enjoys it and even gets up early to go to school for extra help if he needs it, and the teacher is there to provide that support.

4.  My son is creating digital projects as called for in the Common Core.

5.  My son is rising to the high expectations set forth in these College and Career Readiness standards.  He's being challenged, and he's learning.  Isn't that the goal of school--learning!?

My Point of View as an Aunt

My nieces and nephews are also rising to the challenges of the Common Core at their schools in North Carolina.  However, because of poor implementation and in some situations poor instructional practices or poor decisions made by the schools and districts, my young nieces and nephews are spending hours each night on homework.  In my sisters' eyes, this is because of the CCSS.  I can't blame them for thinking this, especially since the schools tell them it's because of the standards.  This, to me, screams of poor implementation and poor decisions made by people working with the teachers.  As committed parents, my sisters are pushing through the situation and are willing to consider this distinction between the standards themselves and poor implementation of them.

My Point of View as an Educator

As an educator I support the Common Core State Standards.  I have spent countless hours (hundreds) working with the standards beginning before they were published in their final drafts.  Throughout these hundreds of hours I've worked on understanding, helping others understand, deconstructing, creating lessons and assessment items and teaching the standards.

In these hundreds of hours, I've met middle and high school teachers who like the Common Core, are implementing the standards and are pleased with the results.  A benefit as a teacher is the common language and collaboration across schools, districts, and states.  Too often teaching becomes a place where you feel like you are on an island by yourself.  Because of the common language and learning standards, teachers can now collaborate across state lines and share best practices in teaching.

In my teaching life (teaching pre-service teachers) I have taught the standards as a way to model what my students will teach in their middle and high school classrooms.  The benefit in this situation is that as pre-service teachers, students can practice teaching lessons they might actually use in their classrooms when they are hired as teachers.

My Questions

My biggest questions for those who oppose the Common Core State Standards include
  • How much time have you spent with the standards?  
  • Have you taught any of the standards yourself? 
  • Are you opposed to the standards or how they are being implemented and tested on a large scale?

Friday, March 15, 2013

Pi and Togas

The year before I left the classroom, I began making a conscious effort to connect literacy and mathematics because it only made sense.  I had already spent the first decade of my teaching career connecting my English classes to various social studies, arts, and science classes, so mathematics was my new subject to conquer.  Now, just like many other English teachers, this was not initially an easy task for me because I had a terrible fear of math.  Fortunately, our high school had a young and innovative teacher who taught me about mathematical literacies.  This was my foray into connecting my discipline to math.

The next year I left the classroom for a new challenge as a literacy consultant at a state education agency, and my work there led to more mathematics connections because I was asked to serve as the “outside content area” participant on a workgroup for developing Characteristics of HighlyEffective Teaching and Learning for mathematics.  It was during this time I met and worked closely with mathematics consultants who possessed a passion for mathematics the same way I possessed a passion for reading, writing, speaking and listening.  I found it truly inspiring, actually, to see educators committed to ensuring students in our state have the best mathematics experiences they need to be successful.  With one particular consultant, I traveled to numerous national convenings as the work toward developing assessments for the Common Core State Standards began.   We were each the subject matter experts for our state’s participation in the PARCC Consortium.  At the same time, our state was rolling out the standards, so our work was not in isolation; we each had numerous other colleagues for mathematics and English Language Arts.  My work with mathematics experts grew.  The more I surrounded myself with these dedicated educators, the more my fear of thinking about math dissipated.   

Last year I spent pi day with this group and experienced their fondness for the day.  One colleague shared a picture with me via twitter as I celebrated pi day for the first time ever in 2012.  This year on pi day, I facilitated a convening of English department chairs from middle and high schools, so I decided to share the pi day enthusiasm and included the image  on the top of our agenda.   Most told me they, too, had celebrated pi day at their respective schools.

When I awoke this morning and gave pause to consider the Ides of March, I tweeted a message to encourage my mathematics colleagues to celebrate the day.  Ah, they know their history and their literature!  One colleague cleverly replied—"Celebrate—aren’t we supposed to beware the Ides of March?”  She’s obviously read Julius Caesar.  Mathematics and literature aren’t so detached, are they?

Sunday, February 05, 2012

When’s the last time you connected math and reading?


For someone who never really enjoyed mathematics as any part of my schooling, I was pleasantly surprised this week when I attended a mathematics design collaborative meeting and learned about conceptual thinking that is real mathematics.   I even liked it!  I suspect one of the reasons I enjoyed myself is because my two boys have me thinking more about math these days, and since we’ve also been on a quest to explore Greek and Roman mythology, Pythagorean theorem was actually interesting to me, a social sciences and humanities major. 

I have received numerous questions from educators about how to teach Greek and Latin roots and Greek mythology as called for in the Common Core State Standards.  Just what is the best way to help kids understand CCSS Reading Literature #4?  Determine the meaning of words and phrases as they are used in a text, including those that allude to significant characters found in mythology (e.g. Herculean).  Or CCSS Language #4b.  Use common, grade-appropriate Greek and Latin affixes and roots as clues to the meaning of a word.  Hopefully, we can provide kids opportunities to make natural connections by exposing them to fantastic texts they enjoy and by engaging them in word study. 

Integrated learning.  Because he’s read Rick Riordian’s The Lightening Thief and the rest of the series, my ten year old is familiar with gods and goddesses from Greek and Roman mythology.  This week he and I watched a Discovery channel documentary on the early days of NASA space exploration.   Imagine his delight when the first segment of the documentary focused on Apollo.  He naturally made a connection, telling me “I bet they named it that because Apollo was god of the sun”.  At his elementary school’s parent night a couple of days later, this same son’s teacher approached me to share a story about an Aha moment during word study time at school.  She said she saw a sparkle in his eyes when he began connecting words to grad.  “That’s why we have 1st grade, 2nd grade, 3rd grade, 4th grade, 5th grade; we are stepping up each year….” Turns out she has the kids participating in word study followed up by Shared Inquiry discussions about texts.  It’s learning that’s integrated and it makes sense for kids.

Learn science.  Learn math.  Learn history.  Learn literature.   Learn the arts.  Learn language.  And never stop learning.   You will no doubt encounter many of the great derivatives and myths from western culture, and you may even connect math and reading.
 
Three of my favorite online resources for teaching Greek and Latin root words & Greek and Roman mythology include: