Showing posts with label mathematics. Show all posts
Showing posts with label mathematics. Show all posts

Sunday, September 13, 2020

 

6 Fun Ways to Go Digital with Number Talks


One of the cornerstones of a solid elementary math block are activities that support students in developing numerical literacy. Developing numerical literacy in the elementary classroom will support students in being confident problem solvers, and engage in mathematical discussions at a higher level.  Number talks are one such activity that builds students numerical literacy and are taking place in classrooms on a daily basis.  

If you are not familiar with number talks here is the gist of it.  The goal of a number talk is to give your students an opportunity to use mental math strategies to solve a problem.  That's right no paper, whiteboards or pens, just solve the problem in your head.  

The conversation that occurs after the number talk is teacher facilitated with students sharing answers and their strategy.  This process supports students learning from each other and teachers assessing students thinking and what strategies they use naturally.

       Teacher says: How can you solve this problem by doing it in your head? Give me a thumbs up when you have a solution!



One thing I love about a Number Talk is students are provided with a problem that can be solved in a variety of ways.  This allows students to be flexible in their thinking and develop a variety of strategies that will support them when they are faced with cognitively demanding math tasks.   


       Get these slides here

One thing that is a struggle with this process is number talks can be incredibly time-consuming if you are in a class with 30 plus students who all want to share how they found their answer.   As a teacher, I want to honor all of my students' voices and give them an opportunity to express what they know, but logistically this is not always possible.   

This is where technology can come in to support you in making number talks accessible to all students and useful as a formative assessment tool to see where all your students are at and give them a chance to share their thinking.  

Here are 6 Fun Ways To Go Digital with Number Talks: 

1. Google Slides: During a synchronous meeting with your students share this slide deck in edit mode for students to record their solution to a number talk problem.  Students can drag the icon to indicate they would like to explain their thinking or to show agreement with another student's explanation.





2. Google Voice:
For asynchronous collaboration post an image and/or your question in a Google Doc.  Students can work with a partner or independently to share their strategy. All you need to do is create a Google Doc and Share with your students.  Then have your students go to the Tools Menu in the Document and click Voice Typing



                                       click here to get this document

If you want to see how quick and easy this process is just check out my 8 year old son demonstrate how to use Google Voice Typing.
                                   


3. Padlet: Post your question on a padlet board.  Students can access the board with a URL and automatically post their response by sharing a picture, text or video.  Try this out by responding to my number talk wall below with your response.  If you have fun doing it imagine what you kids will say! 
Made with Padlet


4. Google Drawing: teachers can illustrate student responses using Google Drawing either on their IPAD or computer.  The Scribble tool is a quick way to make illustrations and the student can also illustrate their response using this web based tool .  Google Drawing can also be used inside Google Document and it even features math symbols as images.  
                          Click here to view in Google Drawing

5. Flip Grid: Create a video word problem with a student response system that records students thinking in an instant.  This process can ensure that students voices are heard and recorded. You can also leave feedback for your students with this process.  The videos below were created shared on Youtube



6. Shadow Puppet: This tool can be used by you to make video number talks or by the student to share their response. Students can illustrate their work with paper and pencil then take a picture with an ipad or iphone.  Then they can audio narrate their response.  This can be a center activity that students complete and provide feedback and comments to their peers.   This is an app and not accessible on a computer 



If you are an elementary teacher looking to improve your students number sense than number talks are a must.  This process instinctively allows me to see where my kids are at, who has grasped the concept and who needs some extra nudging and support.  With number talks the nudging and support does not necessarily come from me it can be found in how their peers respond and with web tools I have the power to capture their answers.  

Want a book that can put it all together for you with over 100 digital resources and tools then check out my book on Amazon



Check out these digital number talk images I have collected and be sure to share yours with me. 

How much for one (unit rate)? How much for 13?


Join our Facebook Group for more conversations, freebies and best practices: https://www.facebook.com/groups/mathconnects/



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Friday, December 15, 2017

 

3 Reasons to Use Virtual Manipulatives in 3 Easy Steps




Manipulatives come in all shapes and sizes, from base ten blocks that support number sense concepts to geometric shapes that dispel the myth of a solid being flat.  We love manipulatives because it provides students with the tools to make sense of math concepts and model with mathematics in an intuitive way. What we don't love about manipulatives is they get lost, need to be organized, we may not have enough, and perhaps they are being used for something other than what we intended.  


Virtual Manipulatives can become somewhat of a panacea to the woes of tactile manipulatives.  There is plenty for everyone, no need to organize and you won't see one being thrown across the room or lost in a student's backpack.  Virtual manipulatives also may include a mat to organize students placement and self-checking features to give students instant feedback.  



Oh yes~whether their real or virtual, manipulatives should and must be a part of instruction and this belief is echoed in the Standards for Mathematics Practice which informs teachers on how to teach math, and explicitly states students should "Model with Mathematics" 

Beyond the drag and drop attraction of virtual manipulatives (VM) students really get into the flow of learning with virtual manipulatives. Perhaps for the same reasons as to why kids love to play video games, virtual manipulatives have some of the same appeal: competence, autonomy, and relatedness.  

Competence: When students use VM tools they get instant feedback and have the capacity to keep trying until they achieve mastery.  

Autonomy: When students work with virtual manipulatives they have the control over what they use and how they use them.  They don't need to share, and they are free to make mistakes without someone telling them it' wrong and why.  They may get feedback but it's not a real person!   

Relatedness:  Virtual manipulatives have some of the same features as videogames with choice in tools and how they use them.  They sometimes get points and rewards just like videogames do too! 

Teaching with VM is very similar to how you would use real-life manipulatives.  Here are my quick three steps: 

1. First, plan how you will have your students use the VM and what you will have them do with them.  Some tools provide problems for students to solve others will not.  If problems are not provided create a worksheet that students can record their response.  If problems are provided have students transfer the skills and ideas they are learning about with VM into the procedures and processes they are using without VM.  This might include either recording the problem and solution or writing out the steps to solve with VM.  If students receive a score at the end of play have them record so they can track their progress over time (growth mindset).

2.  Second, you model with the students the way the tools can be used and what each of the tools represent. Not all VM tools are created equally and you will need to explain and demonstrate how to use the tools. Solve a few problems and demonstrate with your students before they work independently,



3.  Check in on students and determine misconceptions and areas for support.  After you set them free walk around the room and help troubleshoot then bring everyone back together to address misconceptions and share out how students are using VM.  

Okay so now you want to know what VM I recommend.  Here we go: 
    National Library of Virtual Manipulatives: create a worksheet of  problems to solve. Go deeper with concepts in visual form; I love the equivalent fractions tools.  
    National Council of Teaching Mathematics Illuminations has a variety of tools across k-12 span.  The algebra tiles tool is my favorite to build equations and solve.  
    Glenco Math Tools: these tools are fun and provide much space for students to explore, create and craft situations around math in the real work.

Got a Virtual Manipulative tool to share or way to use it that has captured your students attention please LEAVE A COMMENT! 
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Tuesday, December 5, 2017

 

Getting Start with An Hour of Code




Ask the average 8 year old boy what he wants to be when he grows up and you will probably hear “make video games”.  Boys love video games because it gives them an opportunity to use their logic and reasoning skills in the context of a virtually crafted world that includes tools to build and create.

The idea of having “video game” time in any classroom would probably raise some eyebrows by parents and teachers alike.  But we know that creating an engaging learning environment means tapping into students interests so why not use the concept of video games to get students to read, write, problem solve and activate higher order thinking skills.
So that is exactly what I did, I finally took the plunge this week and let my son engage in an “Hour of Code


As an elementary teacher I could easily see the connection to mathematics, reading and 21 Century Skills.  My son had to read the directions to figure out what to do, he had to watch the video to see a visual demonstration of the process (multiple representations), and then he had to try his code out to see if the program worked.  When the line of code he wrote was not successful at achieving the task he went back and tried again.  The Mathematics Practice Standard “Make Sense of Problems and Persevere in Solving Them” was so evident in his thinking process.
The deeper he went in the coding process the more evidence for higher level mathematics.  He could use the “repeat loop” to write a line of code where a process is completed at a faster rate just like multiplication.  Then during more complex tasks he was introduced to the “If___Then____” statement which are conditional statements in math.  I was so jazzed to see the higher mathematics application being introduced to kids at a much younger age and they are motivated to do it because it is in the context of video games
The first few tasks my kindergarten completed as it required him to count the number of blocks and write a line of code that would get Steve a character in Mindcraft to shear a sheep oh yes the coding was about video games and they also have a Star Wars and Frozen version.  My eight year old son was so in the flow he promised me that he would write a blog post about his experience coding if I let him finish his task.


As a teacher I am all about creating an interdisciplinary lesson that includes not just math and reading but also writing so feel free to check out my son’s blog about what he learned from an hour of code.
Braeden’s Blog: The Code of Mindcraft
Please share your experiences on how you can or have used coding in the classroom?






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