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1b:Tde2,数学が得意で、かつ復習でしたら、少し難しめの問題を解いてみてもいいかもしれません。考える時間が長くなればなるほど勉強したことが定着しやすくなります。

例えば、学校の問題集すべてをやるのではなく、発展問題、章末問題があるならそれだけをやればいいです。勿論難しめの問題なので少ない時間ではできる量に限りがありますが、そんなに量をこなす必要はありません。応用問題は1問で基礎事項をいくつも含んでいるからです。また、難しめの問題と対峙して目の前の1問に対して深く考えることは、直接的な入試対策もなるので、復習を兼ねていても短期間で終わらせる必要はありません。
ここで、基礎事項が分かっていないことが原因で応用問題が解けない時、その応用問題に不毛な時間を使ってしまうのでは、と思うかもしれませんが、不毛ではありません。応用問題についてよく考えた後に基礎事項を見ると、基礎事項への理解が一段と深まります(典型的な応用方法やその原理など)。すると、基礎事項も忘れにくくなります。(例えば(x^2 x 1)/(x 1)のx>-1における最小値を求める問題で相加相乗平均の関係を忘れていたとしても、答えを見て
-1 (x 1) 1/(x 1)の形に変形して相加相乗平均の関係を使えばいいことを学べば、相加相乗平均の応用の幅広さを理解でき、これから使おうという気になるでしょう)
更に、結局問題が難しくて解けなかったとしても、少しでも手がかりが見つけられたなら十分な努力だと思っていいです。逆に手がかりが全く見つからない場合、僕がよくやってたんですが、解答の1文目だけ見てそれをヒントにして続きの解答を作る、というのもおすすめです。解答の一部分でも自分で作成することができれば大したものです。

学校の問題集に発展問題などがない場合や、自分にとって簡単な場合、別の問題集を使うことになります。チャートやフォーカスゴールドはかなり広い範囲の難易度の問題が載っているので、おすすめです。この場合もすべての問題をやると時間がかかりすぎるので、見て大体解答の流れが頭に思い浮かぶ問題は飛ばして大丈夫です。また、チャートやフォーカスゴールドの、特に章末問題にはかなり難しい問題もあるので、やる気を失いそうな場合は1回目は全く手が出ない問題を飛ばしても構いません。
実際に書店で中身を見てみて章末問題が全て簡単だと思うならおすすめできませんが、そうでなければ十分買う価値はあると思います。
ちなみにチャートとフォーカスゴールドは難易度も扱う問題の傾向もほぼ同じなので、どちらにするかは好みの問題です。

最後に、問題を解いていった後で基礎事項の抜け漏れを完全になくしたいと思ったら、学校で使っている教科書がおすすめです。問題を解いていけば大半の基礎事項は頭に定着するので分かっている内容が多いために読むのも速くなるし、抜け漏れにも注目しやすくなります。

長文失礼しました。1d:Tc15,まずはどの科目にも言えることですが、基礎をしっかり理解し、解けるようにしてください。

数学はとにかく問題を解けばいい、と思っていませんか？

実はわたしもそう思っていました。
なので理論もわからず、とにかく問題集（私は青チャートを使っていました）を解き、間違える日々。
しかしこの勉強法は間違っている、と浪人してからやっと気付きました。
 
数学には定型パターンがあります。
高校数学を難しく感じるのは、そのパターンが非常に多いためです。
なので、まずはお決まりのパターンをしっかり覚えるようにしてください。

こういう問題がきたら、この公式だな、ってすぐに思いつくレベルまでもっていくのです。
そのためには教科書や授業ノートを使って、習ったことを完璧にしてください。
そして覚えたことは基礎問題でアウトプットします。
これを繰り返し、解法がわかった段階で応用問題に挑戦します。

以下、具体的な方法です。

私は青チャートを使っていたので、青チャートをイメージしてお答えしますが、ご自身の使っている問題集に置き換えて参考にしてみてください。

1.まずは一通り例題を解き、公式の使いどころを覚える。（基本問題）
→数学には解法パターンがあります。こういう問題が来たら、こういう方法で解く、というのが反射的にわかる、身につく、というところまでもっていきます。
この時、公式がわからない、理解できないときは教科書を開いて理解するようにしましょう。

2.例題の下にある問題を解く（標準問題）
→わからなくてもすぐに答えなどみずに、10分は考えるようにしましょう。この時色々な公式や解法が頭に浮かべば、知識は身についている証拠です。
逆に標準問題で手も足も出ないなら、教科書に立ち返りましょう。
ここまでできれば、定期テストや模試である程度の得点は見込めます。（青チャートなら国立大やマーチレベル）

3.章末問題を解く（応用、発展問題）
→数学を得点源にしたい人、難関国立大や早慶を狙う人は最終的に解けるようにしましょう。
このレベルだとさまざまな公式を合わせて使う、複合タイプの問題になります。
この問題をやるときは、「自分がどこまでわかっていて、どこからがわからないのか」をしっかり把握するようにしてください。復習するときはできないところの例題などを見返し、できるようにしましょう。

このように、大事なことはとにかく、
理論を理解する
ことです。
闇雲にやって量をこなすのではなく、丁寧に時間をかけて勉強してください。
1e:T1438,こんにちは。質問の意図は数学の参考書ルートということで、塾に頼らず数学を完成させた私の経験からアドバイスさせていただきます。

数学を学ぶ上での心構えですが、数学は単なる解法の暗記科目ではなく、特に京都大学のような高いレベルの入試では誘導が少なく、丸暗記だけでは対応できません。数学とは、決まった答えに対してさまざまな道具を駆使し、論理的に解を導き出す科目です。実際、京都大学の過去問に取り組むと「何をすればいいのかわからない」という問題に直面することが多いと聞いています。

何度も耳にするかもしれませんが、必要なのは自分が信じる参考書を完璧にすることです。ここでいう「完璧にする」とは、エビングハウスの忘却曲線に従い何度も復習することであり、いろいろな参考書に手を出すよりも遥かに効果的です。たとえばFocus Goldは非常に有用な教材で、全ページを完成させた後も定期的に見返すと良いでしょう。解いているときに、詰まった解法が書かれている部分にマーカーを引いておくと、後で見返しやすくなります。


実際の改善点
大学受験の数学の勉強は主に三つのステップに分かれると考えます。
一　解法を理解し、自分で運用できる武器を増やすこと。
二　その解法を実際に運用する練習、つまり思考力を鍛えること。
三　第一志望校の過去問に取り組むことです。


質問者さんは春休みに第一のステップを終わらせる予定とのことですが、その部分は問題ありません。ただし、学校で配られた教材であるメジアンは推奨できません。解説が詳しくなく、レベルもFocus Goldに似ているため、一つの教材に絞ったほうが遥かに効果を得られます。もし学校でやる必要があるなら、その部分には最低限の努力にとどめ、有効な時間の使い方を心がけてください。また、何かしらの入試問題集と書かれている部分ですが、ここでは第二のステップ、つまり思考力を鍛える部分が重要です。私のおすすめは「ハイレベル数学完全攻略」です。

ハイレベル数学完全攻略の紹介
・数1A2Bと数3Cの二冊構成で、各巻約40問程度の問題が収録されています。
・一見、問題数が少ないように感じるかもしれませんが、各問題は有名大学の過去問から選ばれ、重要なテーマについて詳細な解説が付いています。
・フォローアップ問題も充実しており、理解を深めながら横の広がりも学べます。
・Focus Goldと京都大学の入試をつなぐ難易度です。
・最初は戸惑うこともあるでしょうが、わからない点は先生に確認しながら進めれば大丈夫です。

「ハイレベル数学完全攻略」を3周ほどすることで（1、2周目は全問、3周目は間違えた問題を中心に）、体系的に思考法を鍛えられます。私自身は学校配布の網羅系参考書であるFocus Goldを2周し、その後「ハイレベル数学完全攻略」を3周、さらに「鉄緑会東大数学問題集」に取り組んで現役合格を果たしました。ハイレベル数学完全攻略の持つポテンシャルは保証できるので、ぜひ書店で実物を確認してみてください。問題に対する答えだけでなく、どのようなアプローチを取ればよいかを丁寧に解説しているため、解法の糸口が見えないという状況が格段に減るはずです。


過去問演習についてですが、京都大学の問題は実際に時間を測って取り組むべきで、せか京は過去問演習ではなく問題集、参考書として使うのが効果的です。実際に使用するかどうかは自分の実力と残り時間、他教科との塩梅をみてください。過去問に取り組む際は、鉄緑会京大数学問題集か駿台の青本がおすすめで、必ず時間を測って解くようにしましょう。


最後に、現役で絶対に合格したいという受験作戦についてですが、直前まで数学を詰め込むのは避けるべきです。しかし、数学をおろそかにするのも良くありません。直前期はノルマとして、過去問演習以外で1日2問、少なくとも1問は質の高い問題を解き、その解答の軌跡を記録することが大切です。私はそれを「ハイレベル数学完全攻略」で実践しました。現役生は理科の完成が遅れがちですが、最後の最後で理科は大きく伸びる傾向にあります。数学は不安定で上がりにくい科目なので、数学の結果に一喜一憂せず、他の科目で安定した点数を取る実力を培うことも忘れないでください。

応援してます2:["$","main",null,{"className":"px-4 pt-4 pb-4","children":["$","div",null,{"className":"max-w-3xl mx-auto w-full","children":[["$","div",null,{"className":"mb-8","children":["$","$L7",null,{"href":"https://unilink-app.onelink.me/isbO/h6xeh63x?advice=jRhQVoRzGqgEauOQAHgy","target":"_blank","children":["$","$L8",null,{"src":"/images/web_to_app_banner.jpg","width":3660,"height":1500,"sizes":"100vw","style":{"width":"100%","height":"auto"},"alt":"UniLink WebToAppバナー画像","className":"mb-4 rounded"}]}]}],["$","h1",null,{"className":"text-xl font-semibold mb-2","children":"数学の勉強法"}],["$","div",null,{"className":"flex justify-between mb-4","children":[["$","div",null,{"className":"text-left text-xs text-caption","children":["クリップ(",4,") コメント(",1,")"]}],["$","div",null,{"className":"text-right text-xs text-caption","children":"9/25 15:47"}]]}],["$","div",null,{"className":"coach-mark 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items-center py-4","children":[["$","div",null,{"className":"flex-1","children":[["$","div",null,{"className":"mb-1","children":"現在の数学の勉強法について"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"東京大学に所属している者です。\n\n結論から言うと、特に大きな問題はないと思います。1日の勉強時間の配分に関しては、得意不得意に合わせてやるといいです。現時点での各科目の学力と合格するために必要な各科目の学力を見定めた上で、そのギャップが最も大きいものから優先的にやりましょう。\n\n補足になりますが、数学力を身につける上で重要になってくるのが「模範的な思考のインプットとアウトプット」です。これだけでは分かりにくいと思うので、問題を解いた後にするべきことと、何故それをやった方が良いのかというのを以下で述べていきますので、是非参考にしてみてください。\n\nまず、「どうしてその解答・解法になるのか」を一文・一式ごとに意識しながら解いた問題の丸つけや復習をしましょう。これは数学に限らず他の科目でもするべきではありますが、特に数学の場合は、「どうして模範解答は最初にこの方針を立てることができたのか」「どうして模範解答はここでこの式変形をしているのか」「どうして模範解答はここでこの定理を使おうとしたのか」など、言い始めればキリがないほど多いです。このような普通であれば見逃したり流したりしてしまうような細かいことにまで意識を向けることで、「解答へのアプローチの模範的な思考」をインプットすることができます。\n\n次に、丸つけや復習をした問題を翌日に何も見ずに解きましょう。こうすることで、前日にインプットした「解答へのアプローチの模範的な思考」をアウトプットする練習ができます。必ず昨日考えていたことが自然にドンドン思い出されるので、復習がただの流れ作業にはならず、効率的な数学の勉強になるはずです。\n\n少しでも参考になれば幸いです。"}],["$","div",null,{"className":"flex 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items-center py-4","children":[["$","div",null,{"className":"flex-1","children":[["$","div",null,{"className":"mb-1","children":"数学が伸びない"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"はじめまして！\n\n私が高校生の時にやっていた方法を書こうと思います！\n(公式は覚えていることが前提です)\n\n\n\n1.問題だけを読んで、何も見ずに解いてみる\n\n2.解けなかったら、解答のヒントを読む(ヒントがある場合)(記憶のインプット)\n\n3.ヒントを元にして解いてみる→解けたら問題に丸印をつけておく\n\n4.解けなかった場合、解答をよく読む→バツ印をつけておく(記憶のインプット)\n\n5.解答のポイントと思う部分に線を引いて覚える(記憶のインプット)\n\n6.すぐに、その問題の解答を見ずに解く(記憶のアウトプット)\n\n7.数日後に、印をつけた問題に対してもう一度1~6を試してみる。1で解けたら印を消す。3で解けたらバツ印は丸印に書き換える。(記憶のアウトプット)\n\n8.全ての印が無くなるまで1~7を繰り返す\n\n\n\n数学は暗記科目ではありませんが、記憶力は使います。\n\n記憶の定着には、インプットとアウトプットの両方をやることが大切です。\n\nもちろん解答の丸暗記では、その問題専用の記憶となってしまい、応用ができません。(そんなに記憶力があるならそのメモリには英単語等を入れましょう！)(もちろん、公式は覚えましょう！)\n\n数学で記憶力を使う場面は5の解答のポイントを覚えることです。\n大切な部分をかいつまんで覚える方が覚える量も減るし、ポイントの組み合わせ方次第でほかの問題や応用問題にも活用できます！\n\n人によってポイントと思う部分は違いますが、例えば絶対値と整数が等式で結ばれた方程式を解く際は、両辺を二乗して解きますね。この場合、「絶対値の計算では二乗する」ことがポイントです。\n\n\n数学は長期戦なので、なかなか成長が目に見えずらいです。ですが、やった分は必ずいつか結果になるので諦めずにがんばりましょう！！\n\n応援しています。\n\n\n\n\n"}],["$","div",null,{"className":"flex mb-1","children":[["$","svg",null,{"stroke":"currentColor","fill":"currentColor","strokeWidth":"0","viewBox":"0 0 24 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mb-1","children":"\n問題を理解したら、\n繰り返し解くのが、なんやかんやで1番早いと思います。\n\n自分は、高2の1〜3月は数学にめちゃめちゃ重き置いてたんですが、その時は、\n\n一回間違えたものは、その日のうちにもう一回。それで、次の日にももう一回。\nそれでできなかったら、次の日。\n基本手には、こんだけやればできるようになります。\nそれでもできなかったら、とりあえず放置してました。\n\nんで、ただやればいいだけじゃなくて、その問題の\n「キモ」となるところを常に意識してください。これをしないといくら解いても、身につきません。\n\n問題の「キモ」は、青チャで、〈CHART〉みたいに書かれてるところです。\n\n\n\nまた、初見の問題で難しい問題に出て来た時の対処の話をすると、\n\nまずは、最初から解いていって、解けるとこまで解きます。行き詰まったら、今度は後ろの方を考えます。\n「この問題では、これを求められてるから、最後はこの形に持ってきたいな〜」って考えるんです。\nそして、\n「じゃあ、この値が欲しいから、こうすればいいんじゃないか？」\nみたいに、パズルを埋める感覚で解いていきます。\n\n自分は、前からと後ろからで挟み込んでいくこのやり方を、「サンドウィッチ作戦」って呼んでました。\nこれができるようになると、初見の問題の正解率もグンと上がります。\n\n自分は、高3の時には、人よりも数学に時間割かなかったんですが、一橋本番では、2完しました。ほかの部分点とかも考えて、周りの友達と比べると、数学は結構できてたみたいです。\n\n理由としては、高2の時にあらかた数学にケリをつけてたのと、このサンドウィッチ作戦で、初見の問題にも自分の持つ知識をうまく使って解いてだからだと思います。\n\n夏休みは、長いです。今からでも十分基礎を固められます。\n\n基礎をしっかり固めて、9月からの過去問演習で、応用力をつけてけば、間に合うと思いますよ。\n\n頑張ってください！\n"}],["$","div",null,{"className":"flex 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