Part B What is the most effective evidence the author cites to support the central idea in Part A? Examples of how students active engagement in solving real-world problems can increase their interest Details about the different learning styles that may appeal to a diverse group of student interests "Aha!" moments in which student effort pays off with a deeper understanding of mathematical concepts A quotation from an established expert about the shortcomings of traditional teaching methods

## Step 1<br />The problem is asking us to identify the most effective evidence the author uses to support the central idea. The central idea is not explicitly stated, but we can infer it from the options provided. The central idea seems to be about the benefits of active student engagement in learning, particularly in mathematics.<br /><br />## Step 2<br />We need to evaluate each option based on its effectiveness in supporting the central idea. The options are:<br />- Examples of how students' active engagement in solving real-world problems can increase their interest<br />- Details about the different learning styles that may appeal to a diverse group of student interests<br />- "Aha!" moments in which student effort pays off with a deeper understanding of mathematical concepts<br />- A quotation from an established expert about the shortcomings of traditional teaching methods<br /><br />## Step 3<br />The first option provides examples of how students' active engagement in solving real-world problems can increase their interest. This directly supports the central idea by showing a practical application of the concept.<br /><br />## Step 4<br />The second option discusses different learning styles that may appeal to a diverse group of student interests. While this is important, it does not directly support the central idea of the benefits of active student engagement.<br /><br />## Step 5<br />The third option talks about "Aha!" moments in which student effort pays off with a deeper understanding of mathematical concepts. This is a strong piece of evidence, but it is more about the outcome of active engagement rather than the engagement itself.<br /><br />## Step 6<br />The fourth option is a quotation from an established expert about the shortcomings of traditional teaching methods. This is a weak piece of evidence because it does not provide a direct example or evidence of the benefits of active student engagement.