Showing posts with label 3rd grade. Show all posts
Showing posts with label 3rd grade. Show all posts

Tuesday, March 19, 2019

Student in ACTION: Bringing Corn Snakes to South St. Paul

Did you know that residents of South St. Paul, Minnesota were not allowed to keep corn snakes as pets? Recently, one of our third grade students, Soreal, worked to change that. Learn about her story below. But first, some reflections on action in general in the Primary Years Programme of the International Baccalaureate.

Prior to the release of PYP: From principles into practice, little guidance was given to schools on action, an essential element of the PYP.

In Making the PYP Happen, the action cycle (figure 10 shown below) represented the suggested steps students go through as they contemplated what action they could take as a result of learning. Voluntary action, be it grandiose or simple, individual or collaborative, was to be initiated by the student.


In the enhanced PYP, action is still meant to be authentic, meaningful, mindful, responsible and responsive. However, much more guidance is provided to PYP schools around this core element of our international framework. I see three big ideas emerge as I digest the Action section under The Learner.

Action is an integral part of the learning process

  • Action can be taken at any point during an inquiry cycle and is itself a part of learning.

Action can take on many forms

  • In the new digital resource, the PYP outlines five types of action: participation, advocacy, social justice, social entrepreneurship and lifestyle choices. They also provide concrete definitions and examples of each type.

Adults must support action
  • Although action can be initiated by students, the PYP has now provided a framework that guides adults in ways that they can support students taking action. Figure AC03: Supporting Action from PYP: From principles into practice (shown below), shows different ways that adults and students can collaboratively work together to plan, carry out and reflect on meaningful action that is integrated into the learning process.



Now, back to Soreal.

In the fall during the unit of inquiry How We Organize Ourselves, third graders explore the balance of rights and responsibilities that citizens have in a democracy. Students inquire into the function of government and the responsibilities citizens have to identify problems and to work to solve them by communicating with local, state and nationally elected leaders.

The embedded video below shows Soreal in action at our community's city council meeting. We're very proud of students like Soreal who work collaboratively with adults to initiate positive change in our community.



Soreal at the South St. Paul City Council Meeting

Soreal got her corn snake!

Tuesday, December 19, 2017

KNOW THY IMPACT: Using Hattie's Math to Determine Your Impact

John Hattie is an invaluable researcher in the field of education. His way of looking at the impact of particular influences on student achievement helps educators around the world shift the conversation from what works to what works best.


http://www.education.vic.gov.au/Documents/about/research/ravisiblelearning.pdf
Despite this, Hattie's research can sometimes seem removed from life in the classroom as the effect sizes that he presents in his books are based on very large research studies. Teachers may lament that it is hard to know if the large effect sizes of some the most impactful influences can be replicated in their classrooms, with their unique students.

Until now.


In his book Visible Learning for Literacy (2016) that he co-authored with Fisher & Frey, Hattie encourages teachers to reflect on the impact of their own instruction and presents a formula for calculating effect size in their classrooms.


Being able to calculate impact in this way gives teachers the mathematical ability to quantitatively see if instruction is having an impact on their students' achievement and who is not being impacted too. Armed with this information, teachers are able to adapt their teaching as to maximize their effectiveness for the benefit of all students in their classrooms.

In order to calculate effect size, Hattie suggests that:

  • Lessons have clear learning intentions.
  • Lessons have clear success criteria.
  • The success criteria indicate what quality looks like.
  • Students know where they stand in relation to the criteria for success (p. 136).
With this in place, teachers only need a pre-assessment and a post-assessment score to be able to calculate effect size.

Below, I demonstrate how to calculate effect size by analyzing students' thinking from an inquiry lesson I recently taught with third graders. The lesson is fully described here: Inquiry into Moon Phases.

What did I want students to learn?

During the lesson, our goal was to answer this essential question:



What would success look like?

A successful response will ...
  • Contain academic science vocabulary related to the lesson (1 pt awarded for inclusion of each of the following:
    • observe, Earth, Moon, change, orbit, shadow, light, new moon, crescent moon, full moon, phases*, Sun*, reflecting*, darker*, lighter*
      • *Not introduced during the lesson, but still important scientific terms that came out during the post-assessment.
  • Contain different ideas (1 pt awarded for each complete idea)
    • examples of complete ideas are: the moon orbits the earth, the moon reflects the sun's light, the shadow gets bigger as the light gets smaller, the full moon is when the moon is all it up).
  • Be accurate
    • 4 pts awarded for accurate statements with details/evidence,
    • 2 pts awarded for semi-accurate statements with little details/evidence and some misconceptions
    • 0 pts awarded for inaccurate statements with no details/evidence and many misconceptions
How do I know they've learned?

Assessment task: The task for the pre-assessment (measure of what students initially understood, knew and could do) was the same as the post-assessment (measure of what they learned). For both, I prompted:
  • "Write what you think the answer to our essential question is. Make sure to include scientific vocabulary in your response."
To calculate effect size (p 138)

1. Analyze the pre- and post-assessments.

This step was a snap, thanks to the pre-established success criteria. I recorded these results in a Google Sheet:


Total preTotal post
Student A913
Student B812
Student C511
Student D36
Student E614
Student F212
Student G313
Student H713
Student I710
Student J610
Student K316
Student L312
Student M213
Student N313
Student O211
Student P64
Student Q214
Student R411

2. Find the average of the pre- and post-assessments

Using the average formula (=AVERAGE) this step was easy too!
  • Average pre: 4.50
  • Average post: 11.56
3. Calculate the standard deviation for the pre- and post-assessment and then find the average of the two standard deviations.

This step was super simple too, as the Standard Deviation formula is just (=STDEV).
  • Standard Deviation pre: 2.28
  • Standard Deviation post: 2.83
  • Average Standard Deviation: 2.56
4. Determine effect size
Using Hattie's formula: (Average Post - Average Pre) / Average Standard Deviation
  • Effect size: 2.76
This effect size is quite sizable and is most definitely off the scale of the Barometer of Influence that Hattie presents in his work. Some things to consider:
  • Whereas this is a large effect size, it is just a number. With this quantitative data, a teacher should also reflect qualitatively:
    • In what ways did the students grow the most?
    • What about the lesson was successful that should be replicated?
    • What wasn't successful that can be eliminated?
  • This was just one lesson and the sample size is minute, compared to the studies Hattie typically meta-analyzes. Therefore, little relative importance should be placed on this effect size. After several weeks of working on making scientific observations using scientific language, another assessment could be administered to see if students have continued to show growth with this skill.
5. Determine individual effect sizes

Although the impact of this lesson was quite high on average, that is not necessarily the case for all students. By calculating individual effect sizes using individual assessment scores and the average Standard Deviation, you can see for whom this lesson was successful and for whom it was not.

Individual Effect Sizes
Student A1.56
Student B1.56
Student C2.35
Student D1.17
Student E3.13
Student F3.91
Student G3.91
Student H2.35
Student I1.17
Student J1.56
Student K5.08
Student L3.52
Student M4.30
Student N3.91
Student O3.52
Student P-0.78
Student Q4.69
Student R2.74

The effect sizes of these individual students is also beyond the scale of Hattie's Barometer of Influence presented in his work. I don't believe that is important though. What is important is to look at the individual effect sizes in relation to one another along with looking at students' thinking and reflect:
  • What causes one student (student F, for instance) to make sizable gains, whilst another student (like A or B) just grew marginally?
  • What kinds of thinking are these students demonstrating?
  • What about the teaching made such an impact on these students that could be replicated in the future?
  • What about the teaching caused other students to not gain as much that should be avoided or adapted in the future?
  • What do these students need next in their learning?
Below, I've included some samples of students' thinking:

Student F Pre:


Student F Post:


Student N Pre:

Student N Post:

Student O Pre:

Student O Post:

Although most students showed they learned a great deal during this lesson, Student P did not do as well on the post-assessment as he did on the pre. Using this quantitative data, a teacher must look more deeply at the student's response and reflect:
  • What kinds of thinking is this student demonstrating?
  • What about the teaching had a negative effect on this student's learning that should be avoided in the future?
  • What does this student need next in their learning?

Student P Pre:

Student P Post:


Being able to calculate effect size to determine what works best for individual students is powerful and has the potential to transform the ways which we respond to students. How could you use Hattie's math to determine the impact of your instruction on individual students' achievement?

Friday, December 15, 2017

Helping Students be Successful by using the Gradual Release of Responsibility Model

I recently had the opportunity to teach an inquiry lesson to third graders, during which we explored how the moon appears to change during the month. (The lesson is fully described here: Inquiry into Moon Phases). The essential question that we were seeking to answer during the lesson was:



One of the goals of the lesson was that students would be able to accurately describe how the moon looks like it changes during the month and provide evidence/details about what is really happening. In order to get them to meet this goal, I used the Gradual Release of Responsibility model, as described by Doug Fisher in the article Effective Use of the Gradual Release of Responsibility Model.


Focus Lesson/Modeling (I DO IT)

After walking around a model of the moon in the dark (with a flashlight pointed at it) and observing how the moon looks like it changes, we returned to the classroom and began to draw our observations out on a Moon Calendar (we used pictures to help us remember). After week one, we paused so I could model how to make a scientific statement.

On the board, I wrote the sentence stem, "I observe ..." and modeled how I would describe how the moon looked like it changed during week #1.




I said, "I observe that the moon looks like it is changing because the shadow on the moon is getting bigger."



I asked students to notice which scientific words they heard and added those to a bank of science words on the board, by the sentence stem. I added moon, changing and shadow.


Guided Instruction (WE DO IT)
We continued to draw our observations out on the Moon Calendar. After week two, we paused to make a scientific statement together.


I asked for volunteers to describe how the moon looked like it changed during week #2. I guided the volunteers to use the sentence stem, "I observe ..." and as many scientific words as possible. When students said scientific words that weren't yet in our word bank, we added them (eventually that list grew to 9 words).


As I guided different volunteers to describe how the moon looked like it changed during week two, my responsibility as the teacher was to:
  • encourage them
  • celebrate their effort and successes
  • give feedback on how they could improve by
    • adding more scientific words
    • including additional new ideas
    • addressing misconceptions

Collaborative Learning (YOU DO IT TOGETHER)
We continued to draw our observations out on the Moon Calendar. After week three, we paused to so that pairs of students could make a scientific statement together.


I asked the students to think about how the moon looked like it changed during week #3. I reminded them to use the sentence stem, "I observe ..." and as many scientific words as possible. After students had a chance to think, I invited them to pair up and share their scientific sentence with a partner.

After 1-2 minutes, I signaled all the students back together and randomly chose 3 different pairs. As one partner said their scientific sentence, the other partner was in charge of counting how many scientific words they used. 

As the different pairs described how the moon looked like it changed during week three, my responsibility as the teacher was to:

  • encourage them
  • celebrate their effort and successes
  • give feedback on how they could improve by
    • adding more scientific words
    • including additional new ideas
    • addressing misconceptions
Independent Learning (YOU DO IT ALONE)
We continued to draw our observations out on the Moon Calendar. After week four, we paused to so that individual students could make a scientific statement.


I asked the students to think about how the moon looked like it changed during week #4. I reminded them to use the sentence stem, "I observe ..." and as many scientific words as possible. After students had a chance to think, I randomly chose 3 different students to share their scientific sentences with the class. As each student shared, the rest of the class counted how many scientific words they used.

As the different students described how the moon looked like it changed during week four, my responsibility as the teacher was to:
  • encourage them
  • celebrate their effort and successes
  • give feedback on how they could improve by
    • adding more scientific words
    • including additional new ideas
    • addressing misconceptions
Post-Assessment
After gradually releasing responsibility to the students to describe how the moon looked like it changed during the month, I asked them to respond to our essential question (just as I had at the onset of the lesson for a pre-assessment):


The difference between students' response to this question at the beginning of the lesson versus the ending was astonishing. Below is a sample of students' responses. It is clearly evident how much they grew during this lesson in their ability to accurately describe their scientific observations.

Student #1 PRE:

Student #1 POST:


Student #2 PRE:


Student #2 POST:


Student #3 PRE: 


Student #3 POST: 

By slowing and gradually releasing responsibility to students, they were ultimately able to independently describe how the moon changes during the month. How do you successfully use the gradual release of responsibility model in your own classroom?

Wednesday, March 18, 2015

Using concrete models to represent abstract concepts

Third graders in Minnesota need to understand how time, money and temperature can be used to solve real-world and mathematical problems (Math Academic Standard 3.3.3.1). This includes being able:
  • to tell time to the minute, using digital and analog clocks and 
  • to determine elapsed time to the minute.
Time, and especially the passage of it, are particularly abstract concepts that many third graders have difficulty understanding. Third grade educators, and other teachers of young children, must set up instruction that allows students to move from concrete to abstract (Making the PYP Happen, Subject Area Annex, Mathematics in the Primary Years Programme).

Recently, a G3 teacher introduced a model to her students that they could use to concretely represent the abstract concept of elapsed time.


The model allows students to show time passing on a timeline. Students represent the passage of time with different geological features:

  • A mountain = 1 hour
  • A hill = 30, 20, 15, 10, or 5 minutes
  • A rock = 1 minute
The teacher explained to her students that these different features represent different amounts of time relative to the amount of time it would take to climb over one (i.e. it takes longer to climb over a mountain that it does to climb over a hill, whereas jumping over a rock takes relatively little time.)

The class used this anchor chart as they learned how to use the model.




The following are some examples of students using the concrete model to represent the abstract concept of the passage of time.





  


In this example, the child jumps over a small hill (10 minutes) and a rock (1 minute) before jumping over a larger hill (30 minutes) in order to get to an even time (5:00). 
When students are required to show their thinking in this way, they're able to justify their thinking (abstract) more easily because they can refer to the model (concrete). Thus, young learners can initiate, explore, discuss, document, and manage their thinking about abstract concepts, if given the appropriate structure (Defining Thinking Routines, Ron Ritchhart).

This same model could also be used to make sense of other abstract mathematical concepts, such as

  • the passage of time on a greater scale (decade, century, millennia).
  • representing multiplication as jumps on a number line.
  • making change to a dollar could be concretely shown using this timeline model.
How could you use this concrete model (or other models) with your students for them to make sense of an abstract concept?

Click here to learn more about the Elapsed Time Mountain Strategy.