What key value is reflected in Mr. Lara's teaching when he uses questions to solicit proof in mathematics?

The emphasis in Mr. Lara's teaching approach, where he uses questions to solicit proof in mathematics, highlights the development of logical reasoning and proof. This method encourages students to think critically about the processes they are using to arrive at answers, rather than just applying formulas or rote memorization. By asking for proof, Mr. Lara is not only promoting a deeper understanding of mathematical concepts but also helping students learn how to construct valid arguments and justify their reasoning. This aligns with key educational goals in mathematics, where understanding the 'why' behind operations is as important as the 'how'.

This approach fosters a classroom environment where students can engage with mathematics in a more meaningful way, cultivating skills that are essential for higher-level mathematics as well as for problem-solving in real-world contexts.