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Dr. Maria Chen is investigating whether smaller class sizes improve student engagement in high school mathematics. Traditional classes at her...

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Dr. Maria Chen is investigating whether smaller class sizes improve student engagement in high school mathematics. Traditional classes at her school contain 28-32 students, but Chen believes that reducing class sizes significantly could lead to higher participation rates. In her pilot study, she compared engagement levels between standard classes and smaller sections with 18-22 students. Both class types covered identical curricula and used the same teaching methods, but Chen observed that students in smaller classes participated more actively in discussions and collaborative work. However, the improvement was modest, with small classes showing 15% higher engagement compared to traditional classes. Chen hypothesizes that further reducing class sizes to 12-15 students would produce even greater engagement improvements.

Which finding would most strongly support Chen's hypothesis?

A

Students in classes with 12-15 students demonstrate engagement levels more than 15% higher than traditional classes.

B

Teachers report feeling more confident about managing classroom discussions in smaller class environments.

C

Students in smaller classes perform better on standardized mathematics assessments than those in traditional classes.

D

Parents express greater satisfaction with their children's mathematics education when class sizes are reduced.

Solution

Step 1: Decode and Map the Passage

Part A: Create Passage Analysis Table

Text from Passage Analysis
"Dr. Maria Chen is investigating whether smaller class sizes improve student engagement in high school mathematics."
  • What it says: Chen studies if fewer students leads to better engagement in math
  • What it does: Introduces the research question being investigated
  • What it is: Research context
"Traditional classes at her school contain 28-32 students, but Chen believes that reducing class sizes significantly could lead to higher participation rates."
  • What it says: Normal classes have 28-32 kids; Chen thinks fewer students equals more participation
  • What it does: Establishes the current situation and Chen's belief
  • What it is: Background plus hypothesis
"In her pilot study, she compared engagement levels between standard classes and smaller sections with 18-22 students."
  • What it says: Study compared normal classes vs. 18-22 student classes
  • What it does: Describes the study design she actually conducted
  • What it is: Research methodology
"Both class types covered identical curricula and used the same teaching methods, but Chen observed that students in smaller classes participated more actively in discussions and collaborative work."
  • What it says: Same content and methods; smaller classes showed more active participation
  • What it does: Reports the observed results from her study
  • What it is: Research findings
"However, the improvement was modest, with small classes showing 15% higher engagement compared to traditional classes."
  • What it says: Improvement was only 15% higher engagement
  • What it does: Quantifies the actual improvement observed
  • What it is: Specific data
"Chen hypothesizes that further reducing class sizes to 12-15 students would produce even greater engagement improvements."
  • What it says: Chen thinks 12-15 students would create even better engagement than 15%
  • What it does: States her new hypothesis based on initial results
  • What it is: New hypothesis

Part B: Provide Passage Architecture & Core Elements

Main Point: Chen conducted a pilot study showing modest engagement improvements with smaller class sizes and now hypothesizes that even smaller classes would produce greater improvements.

Argument Flow: Chen starts with a belief about class size effects, tests it with a controlled study comparing normal and moderately smaller classes, finds modest improvements (15% higher engagement), and now proposes that even smaller classes would produce even better results.

Step 2: Interpret the Question Precisely

What's being asked? Which finding would most strongly support Chen's specific hypothesis about 12-15 student classes.

What type of answer do we need? Evidence that would support her hypothesis that reducing class sizes to 12-15 students would produce even greater engagement improvements than the 15% she already observed.

Any limiting keywords? None specified.

Step 3: Prethink the Answer

  • Chen's hypothesis is specific: reducing class sizes to 12-15 students would produce even greater engagement improvements than the 15% she already observed with 18-22 student classes
  • To support this hypothesis, we need evidence that directly tests this claim
  • The right answer should show that classes with 12-15 students actually do produce engagement improvements that exceed the 15% baseline she established
Answer Choices Explained
A

Students in classes with 12-15 students demonstrate engagement levels more than 15% higher than traditional classes.

✓ Correct
  • This directly tests Chen's hypothesis by measuring engagement in the exact class size she proposed (12-15 students) and shows engagement levels more than 15% higher than traditional classes, which is exactly what her hypothesis predicts
B

Teachers report feeling more confident about managing classroom discussions in smaller class environments.

✗ Incorrect
  • This is about teacher confidence in managing discussions, not student engagement levels
  • Doesn't provide any data about whether Chen's hypothesis about greater engagement improvements is correct
C

Students in smaller classes perform better on standardized mathematics assessments than those in traditional classes.

✗ Incorrect
  • This focuses on standardized test performance, not engagement levels
  • Chen's hypothesis is specifically about engagement improvements, not academic performance
D

Parents express greater satisfaction with their children's mathematics education when class sizes are reduced.

✗ Incorrect
  • This measures parent satisfaction, not student engagement
  • Doesn't test whether 12-15 student classes produce the greater engagement improvements Chen hypothesizes
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