Category Archives: B. T-GEM

T-GEM & Titrations

The Challenge:

Acid-base chemistry is a core section of Chemistry 11 and leads to the study of a variety of other chemical reactions. Typically, the concept of acid-base titrations is taught with traditional methods with teacher-based lectures followed by examination (Gonzalez-Gomez, Rodriquez, Canada-Canada, & Jeong, 2015). Additionally, ‘scripted’ laboratory classes can accentuate this method where students practice their observational skills and link between theory and practice. However, various misconceptions and student problems affect the ability of students to effectively learn the material. These misunderstandings can include a variety of topics such as the nature of acids and bases, and the recognition and use of acid-base chemistry (Cooper, Kouyoumdjian, & Underwood, 2016). From my own personal experience teaching acid-base titration, there is a disconnect between the laboratory work involving observations and technique and the calculations that accompany the laboratory work. Typically, students are able to complete titrations successfully in a laboratory setting and are able perform specific calculations in the classroom. However, they often struggle when the two concepts are joined or completed together. As proposed below, the use of T-GEM cycle might help alleviate some of these issues.

T-GEM Cycle:

Briefly, the T-GEM cycle involves three levels of instructional strategies (Khan, 2007):

  • Compiling information and generating a relationship
  • Evaluating the relationship
  • Modifying the relationship

The propose T-GEM cycle for the acid-base titration lessons would involve the teacher initially providing a minimal amount of background information. This would include introducing the concepts of acids, bases, and indicators.

The first level of T-GEM involves compiling information and generating a relationship. Students would be introduced to the first simulation (see below). This simulation allows students to manipulate the amount of NaOH in the Erlenmeyer flask and virtually perform a titration to the equivalence point. Students would be tasked with determining a general relationship between the concentration of base and acid as the titration proceeds.

Following the introductory simulation on titrations, students are then asked to revaluate the relationship using a second simulation (see below). This second simulation is more involved as it allows greater control and manipulation of variables (type of reaction, specific acids, specific bases, and verification of calculation). For example, students can be tasked with finding a more specific relationship between variables and perform calculations to verify results.

The final teacher strategy involves students modifying and summarizing their initial relationship based on their observations from the second simulation. Also, students would need to solve a new case. In my classes, I would then integrate the technical lab work for students to attempt and further confirm their hypothetical relationships.

The strategies are summarized below:

 

Digital Tech:

Simulation #1

http://glencoe.mheducation.com/olcweb/cgi/pluginpop.cgi?it=swf::800::600::/sites/dl/free/0023654666/117354/Titration_Nav.swf::Titration%20Simulation

Simulation #2

http://group.chem.iastate.edu/Greenbowe/sections/projectfolder/flashfiles/stoichiometry/acid_base.html

References:

Cooper, M., Kouyoumdjian, H., & Underwood, S. (2016). Investigating students’ reasoning about acid-base reactions. Journal of Chemical Education, 93(10), 1703-1712.

Gonzalez-Gomez, D., Rodriguez, D., Canada-Canada F., & Jeong, J. (2015) A comprehensive application to assist in acid-base titration self-learning: An approach for high school and undergraduate students. Journal of Chemical Education, 92(5), 855-863.

Khan, S. (2007). Model-based inquiries in chemistry. Science Education, 91(6), 877-905.

 

A million points of light

Thoughts on Chemland:

I spent quite a while investigating the units on Chemland (General Chemistry Interactive Simulations). I found being able to change variables, predict outcomes and then seeing the outcomes very helpful. If my prediction was wrong I could test and retest my theories to help me build a new understanding of the concept. Chemland was interesting but the curriculum is far beyond anything that is ever tackled in my grade 6-8 classroom.

Seeing the interactive simulations sent me on a quest. I wanted to see what other science and math concept simulations were available for my grade levels. I have to admit I totally nerded out and spent way too much time “playing” with these simulations. Although I investigated a few simulation sites the one I found to be the most comprehensive, interactive and helpful was the PhET Interactive Simulations created by the University of Boulder Colorado.

The website is https://phet.colorado.edu/en/simulations/category/new is free and registering provides you with access to lessons and other teacher add-ons.

Thoughts on GEM and T-GEM

GEM (Generate, Evaluate, Modify) and T-GEM (which includes technology) is a cyclical approach to science education. The image below explains how T-GEM can be used in the science classroom.

I feel a valuable component of the T-GEM approach is that students are not given explicit information about a science topic and asked to regurgitate these facts, rather students are expected to compile information, and generate a statement about how factors are related. Students are then expected to test their ideas and discuss their findings with others and the teacher. Students test and retest their ideas to see if they were correct. Students are also able to change the parameters of the tests to see what would happen in any given scenario. Being able to change the parameters helps students solidify concepts in a new way. Khan 2007 states that Inquiry is associated with an array of positive student outcomes, such as growth in conceptual understanding, increased understanding of the nature of science, and development of research skills (Benford & Lawson, 2001; Marx et al., 2004; Metz, 2004; Roth, 1993; Wallace, Tsoi, Calkin, & Darley, 2004) (p 877).

Khan 2012 quotes the science teacher in the case study:

A lot of the kinds of things we do with computer simulation could be done with pieces of paper. The thing that’s better about the computer part of it is, you can do a lot more exploring, so [the computer simulation] gives [students] more control over what they’re going to look at, as opposed to if I give them a sheet of paper with numbers on it. It’s like I’m going to look at this information, I’m going to come to some conclusion, I’m going to look at some more information, an I’m going to test those conclusions…So when I throw up an overhead, I’m doing the exploring and they [the students] are explaining it. And that’s ok, but when it’s a simulation and they are choosing things, then they are doing the exploring much more  (p 225-226).

This quote highlights how students can have control over their learning when using simulations and through the iterative process can dispel their own misconceptions about scientific concepts.

Challenging concept in your field: Light Snell’s Law, Reflection and Refraction

  • State how you know it is a challenge for students (eg. practice, student tests, and research on misconceptions).

One of the challenging science units I have taught is Light (including Snell’s Law, Reflection and Refraction).

I know that Light is a difficult unit for students because it involves both scientific and mathematical concepts. Students voice their difficulty with the concepts during lessons and experiments. Often traditional test scores have been quite low and finally, students are not able to talk about or demonstrate their understanding of the concepts with any degree of certainty.

Plan a 3-step T-GEM cycle for this challenging concept in your field. Use a visual to assist in showing the plan.

T-GEM Approach to a science unit on Light

One of the challenging science units I have taught is Light (including Snell’s Law, Reflection and Refraction).

I know that Light is a difficult unit for students because it involves both scientific and mathematical concepts. Students voice their difficulty with the concepts during lessons and experiments. Often traditional test scores have been quite low and finally, students are not able to talk about or demonstrate their understanding of the concepts with any degree of certainty.

Plan a 3-step T-GEM cycle for this challenging concept in your field. Use a visual to assist in showing the plan.

T-GEM Approach to a science unit on Light

Select an appropriate digital technology that may work for this concept.

Below is a link to the simulation I chose to accompany this unit. Just click the image.

http://

Bending Light

Click to Run

References:

 

 

Khan, S. (2007). Model-based inquiries in chemistryScience Education, 91(6), 877-905.

Khan, S. (2012). A Hidden GEM: A pedagogical approach to using technology to teach global warming. The Science Teacher, 79(8). This article was written about T-GEM with middle-schoolers.

https://phet.colorado.edu/en/simulation/legacy/bending-light

T-Gem and the Seasons: Investigating the effect of axial tilt on the seasons

My challenging concept is the effect of the earth’s tilt on the causes of the seasons. This has been identified by Schneps (1988) in “The Private Universe” as a significant and persistent misconception within science education. Complex visualizations involving 3 dimension systems over time and changing points of view, such as is required in this case, are well documented as being particularly challenging for students of all ages (Barnett et al., 2005, Schneps et al., 2014).

 

In order to attack this problem through a t-Gem cycle, I have selected a Khan Academy simulation as my primary tool (https://www.khanacademy.org/computer-programming/path-of-the-sun/5075733592408064) . This simulation shows the celestial sphere and the path of the sun. Adjustable variables include the latitude of the observer, time of day, date, and tilt angle of the earth. This technology will afford students the ability to generate and examine data relevant to their latitude and the true tilt as well as provide several possibilities for extensions.

 

To generate hypotheses, students would first need some background knowledge in order to understand the variables. These would include the fact that the sun is the primary source of warmth on earth and that we are warmed during the day and cool at night. The following chart will guide students in their initial data collection

 

Date Day Length Night Length Peak Light intensity Max height of sun above the horizon
June 21
September 22
December 21
March 20

The students will fill in data for the provided dates first (solstice and equinox dates). From this data students would generate a hypothesis as to what causes the seasons. The will be prompted to evaluate the data and their hypothesis in light (pun most definitely intended) of their experience with these times of year as compared to their data. Do they agree? Next, students will select their own intermediary dates between those provided to check their hypothesis against further data and their own experience. Does the new data continue to represent the predicted trend? The students will then modify their hypothesis to fit and incongruous results this the help of the instructor. The cycle begins again when the students use their previously generated model to examine how this would translate to the north pole, equator, a moderate southern latitude, and the south pole. Students would then collect all their data to assemble a general theory of how latitude and time of year affect seasons on earth. The activity can be further extended into new cycle by changing the tilt angle in the simulation first slightly, the eliminating it altogether, and finally setting it to directly horizontal.

 

(You may need to use your browsers zoom function to view the graphic as it kept distorting when I tried to scale it)

 

My science 6’s will be looking at exactly this topic on Tuesday when we return from spring break. I’ll try to post back here and let you know how it goes.

References:

Barnett, M., Yamagata-Lynch, L., Keating, T., Barab, S. A., and Hay, K. E. (2005). Using virtual reality computer models to support student understanding of astronomical concepts. Journal of Computers in Mathematics and Science Teaching, 24(4):333-356.

Path of the Sun. Retrieved February 25, 2017, from https://www.khanacademy.org/computer-programming/path-of-the-sun/5075733592408064.

Schneps, M. H., Ruel, J., Sonnert, G., Dussault, M., Griffin, M., and Sadler, P. M. (2014). Conceptualizing astronomical scale: Virtual simulations on handheld tablet computers reverse misconceptions. Computers & Education, 70:269-280.

Pyramid Film & Video (1988). A private universe: An insightful lesson on howwe learn: Harvard-Smithsonian Center for Astrophysics.

T-GEM

Challenging Concept: Integers

I teach grade 6s and 7s and integers is a common concept in math my students struggle with. Particularly, when dealing with negative integers. This includes adding, subtracting, multiplying and dividing with negative integers. Specifically, my students have had difficulties with understanding that adding a negative integer makes a number less positive and that subtracting a negative integer makes a number more positive. Though we go over the rules of integers, I have seen significant students experience difficulty with the concept. I have also utilized metaphors such as thinking of negative integers as “unhappy things” and positive integers as “happy things” and if we add more positive integers, we will be more happy and the number will be more positive and vice versa. However, if I subtract a negative number, I am metaphorically speaking taking away unhappy things, and therefore I will be more happy and the number will be more positive.

3 Step T-GEM cycle

Teacher Strategies Examples Student Strategies
Provide background information on integers Introducing what “positive integers” and “negative integers” look like
Generate Show examples of different types of integer equations, but starting only with adding of two positive and two negative integers. (+2) + (+3) = +5
(-2) + (-3) = -5
Try to generate relationship between positive and negative integers and operation. They also try to consider how this math concept is used in real life applications.
Evaluate Encourage students to evaluate their relationships to see if the integer equations will become true/false. “What are some other examples?”
“Create your own examples and see if it follows your rules.”
Try out their theories and evaluate them.
Modify Ask students to modify original ideas of relationship between positive integers.

Then, the teacher will introduce a new related concept such as adding a negative integer, then subtracting a negative integer, before moving on to multiplying and dividing.

“What changes can we make to your rule?” Modify their relationships if it is false.

 

Digital Technology

A digital technology that can be used to accompany the concept of integers is the use of coloured chips found at http://nlvm.usu.edu/en/nav/frames_asid_161_g_2_t_1.html?from=search.html and http://nlvm.usu.edu/en/nav/frames_asid_162_g_3_t_1.html?from=search.html. They allow students to visually represent the integers using different coloured chips (e.g. one for negative, one for positive).

Index of Virtual Manipulatives. (2017). National Library of Virtual Manipulatives. Retrieved 23 February 2017, from http://nlvm.usu.edu/en/nav/search.html